Write the equations for each problem and solve the system by any method.

Transcription

1 Secondary IH Solve Systems of Equations Word Problems j \2A0^1s4q zkxu_t]aj PSZoifUt^wTabrye` xlhltcg.y u VAnlAlw JrYiWg]hTtpsL Wr`eMsOeVrwvje`dD. Name Write the equations for each problem and solve the system by any method. 1) Sarawong's school is selling tickets to a play. On the first day of ticket sales the school sold 6 adult tickets and 1 student ticket for a total of $70. The school took in $74 on the second day by selling 6 adult tickets and 2 student tickets. Find the price of an adult ticket and the price of a student ticket. Period 2) Sumalee and Kristin each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Sumalee spent $132 on 10 hostas and 6 shrubs. Kristin spent $120 on 9 hostas and 6 shrubs. What is the cost of one hosta and the cost of one shrub? 3) The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 14 vans and 3 buses with 272 students. High School B rented and filled 14 vans and 4 buses with 330 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus. 4) Ryan and Huong are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Ryan sold 13 rolls of plain wrapping paper and 12 rolls of shiny wrapping paper for a total of $335. Huong sold 6 rolls of plain wrapping paper and 12 rolls of shiny wrapping paper for a total of $258. What is the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper? 5) Adam and Sarawong each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store. Adam spent $76.80 on 9 rose bushes and 3 shrubs. Sarawong spent $49.30 on 4 rose bushes and 3 shrubs. What is the cost of one rose bush and the cost of one shrub? G K2V0f1G4a ZKluTtAaz kssodfltewtasrles ZLdLZCJ._ N habl[lo xr\iwgrhfttsk IrtewsAeLruvFeBd^.W s vmfadd^ej vwziztghn RIOnkfHikn[iKtoeo QAplegte]bUroay ^1s. -1-

2 6) Chelsea and Jack are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Chelsea sold 4 apple pies and 14 lemon meringue pies for a total of $ Jack sold 4 apple pies and 2 lemon meringue pies for a total of $ Find the cost each of one apple pie and one lemon meringue pie. 7) Danielle and Stephanie are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Danielle sold 4 rolls of plain wrapping paper and 9 rolls of holiday wrapping paper for a total of $ Stephanie sold 4 rolls of plain wrapping paper and 10 rolls of holiday wrapping paper for a total of $ What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper? 8) Wilbur and James are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Wilbur sold 6 small boxes of oranges and 1 large box of oranges for a total of $ James sold 6 small boxes of oranges and 11 large boxes of oranges for a total of $ Find the cost each of one small box of oranges and one large box of oranges. 9) The indoor climbing gym is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 3 buses with 167 students. High School B rented and filled 7 vans and 12 buses with 325 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry? 10) Natalie and Heather are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Natalie sold 10 rolls of plain wrapping paper and 5 rolls of shiny wrapping paper for a total of $170. Heather sold 6 rolls of plain wrapping paper and 10 rolls of shiny wrapping paper for a total of $242. Find the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper. [ ]2b0R1u4l ekjuctlau yseo\ftt`wraarjea PLzLCCK.B q ja_lilj irribgnhptvsh TrXersBeWrvvreOdg.\ q wmcandqek BwdirthhJ QIwnTfmiqneiNttel pabllgeeybrrxat w1p. -2-

3 11) Bill and Kali are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of gingerbread cookie dough. Bill sold 11 packages of sugar cookie dough and 12 packages of gingerbread cookie dough for a total of $437. Kali sold 4 packages of sugar cookie dough and 6 packages of gingerbread cookie dough for a total of $190. What is the cost each of one package of sugar cookie dough and one package of gingerbread cookie dough? 12) Mike and Anjali are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Mike sold 8 small boxes of oranges and 10 large boxes of oranges for a total of $ Anjali sold 4 small boxes of oranges and 3 large boxes of oranges for a total of $91. What is the cost each of one small box of oranges and one large box of oranges? 13) Micaela's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 12 senior citizen tickets and 6 student tickets for a total of $ The school took in $ on the second day by selling 6 senior citizen tickets and 5 student tickets. Find the price of a senior citizen ticket and the price of a student ticket. 14) Trevon and Emily each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Trevon spent $28.80 on 1 daylily and 9 pots of ivy. Emily spent $72.80 on 6 daylilies and 14 pots of ivy. What is the cost of one daylily and the cost of one pot of ivy? 15) Jack and Kristin each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store. Jack spent $60 on 4 rose bushes and 5 shrubs. Kristin spent $158 on 14 rose bushes and 11 shrubs. Find the cost of one rose bush and the cost of one shrub. V a2u0n1o4p RKburtVaO YSnoKfWtgw_aFrBeh nlql]ck.x o oa`lulh RrpicgqhEtGsd kreetsredrqvdesdt.o L WMyazdYej Ywkizt^hw wirnyfpidnbintwel [AMlhg_edbHrnaE L1x. -3-

4 16) Jack's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 14 senior citizen tickets and 4 student tickets for a total of $170. The school took in $164 on the second day by selling 6 senior citizen tickets and 10 student tickets. Find the price of a senior citizen ticket and the price of a student ticket. 17) Elisa and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Elisa sold 13 rolls of plain wrapping paper and 12 rolls of shiny wrapping paper for a total of $184. Kali sold 7 rolls of plain wrapping paper and 9 rolls of shiny wrapping paper for a total of $127. What is the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper? 18) Mary and Rob are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecakes and strawberry cheesecakes. Mary sold 9 pecan cheesecakes and 8 strawberry cheesecakes for a total of $ Rob sold 13 pecan cheesecakes and 14 strawberry cheesecakes for a total of $ Find the cost each of one pecan cheesecake and one strawberry cheesecake. 19) Natalie and DeShawn each improved their yards by planting rose bushes and ivy. They bought their supplies from the same store. Natalie spent $ on 7 rose bushes and 11 pots of ivy. DeShawn spent $72.60 on 4 rose bushes and 10 pots of ivy. What is the cost of one rose bush and the cost of one pot of ivy? 20) Jessica's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 2 adult tickets and 10 child tickets for a total of $89. The school took in $ on the second day by selling 11 adult tickets and 4 child tickets. Find the price of an adult ticket and the price of a child ticket. \ b2c0i1k4^ ik[u`tgaz USOoGfvtWwPaPrCeB jlblmcb.f s SAvlrlt _rqiigbhztesn mrkegsbecrnvyegdd.a o cmqabdkev RwyiVtKhP aipnrfjiinwidtxe^ WABlFgIeObZrLap U1X. -4-

5 Secondary IH Solve Systems of Equations Word Problems e c2r0q1g4a ikdu^tkad VSHoEfdtMwnaor`ea BLcLeCT.a z faplmld brripgjhstksw erdebsdezrhvaevdi. Name Write the equations for each problem and solve the system by any method. 1) Sarawong's school is selling tickets to a play. On the first day of ticket sales the school sold 6 adult tickets and 1 student ticket for a total of $70. The school took in $74 on the second day by selling 6 adult tickets and 2 student tickets. Find the price of an adult ticket and the price of a student ticket. adult ticket: $11, student ticket: $4 Period 2) Sumalee and Kristin each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Sumalee spent $132 on 10 hostas and 6 shrubs. Kristin spent $120 on 9 hostas and 6 shrubs. What is the cost of one hosta and the cost of one shrub? hosta: $12, shrub: $2 3) The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 14 vans and 3 buses with 272 students. High School B rented and filled 14 vans and 4 buses with 330 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus. Van: 7, Bus: 58 4) Ryan and Huong are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Ryan sold 13 rolls of plain wrapping paper and 12 rolls of shiny wrapping paper for a total of $335. Huong sold 6 rolls of plain wrapping paper and 12 rolls of shiny wrapping paper for a total of $258. What is the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper? roll of plain wrapping paper: $11, roll of shiny wrapping paper: $16 5) Adam and Sarawong each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store. Adam spent $76.80 on 9 rose bushes and 3 shrubs. Sarawong spent $49.30 on 4 rose bushes and 3 shrubs. What is the cost of one rose bush and the cost of one shrub? rose bush: $5.50, shrub: $9.10 z q2l0y1t4l wksuqtaaa ASuovfctiw\aJrwez XL`LCC_.B T oaqlmlp ZrDisgfhztnsm qrferspebrcvtefde.q a `MxawdIey nwciktkhc KIgnmfZiznWiCtPeE SAalKgieSbnreaF k1d. -1-

6 6) Chelsea and Jack are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Chelsea sold 4 apple pies and 14 lemon meringue pies for a total of $ Jack sold 4 apple pies and 2 lemon meringue pies for a total of $ Find the cost each of one apple pie and one lemon meringue pie. apple pie: $10.70, lemon meringue pie: $ ) Danielle and Stephanie are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Danielle sold 4 rolls of plain wrapping paper and 9 rolls of holiday wrapping paper for a total of $ Stephanie sold 4 rolls of plain wrapping paper and 10 rolls of holiday wrapping paper for a total of $ What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper? roll of plain wrapping paper: $11.80, roll of holiday wrapping paper: $ ) Wilbur and James are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Wilbur sold 6 small boxes of oranges and 1 large box of oranges for a total of $ James sold 6 small boxes of oranges and 11 large boxes of oranges for a total of $ Find the cost each of one small box of oranges and one large box of oranges. small box of oranges: $4.91, large box of oranges: $ ) The indoor climbing gym is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 3 buses with 167 students. High School B rented and filled 7 vans and 12 buses with 325 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry? Van: 7, Bus: 23 10) Natalie and Heather are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Natalie sold 10 rolls of plain wrapping paper and 5 rolls of shiny wrapping paper for a total of $170. Heather sold 6 rolls of plain wrapping paper and 10 rolls of shiny wrapping paper for a total of $242. Find the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper. roll of plain wrapping paper: $7, roll of shiny wrapping paper: $20 p e2h0y1q4[ nkpudt\at QStosfetWwyaMroek ALGLlCc.\ L qaplgls RraipgdhjtZsu FryeHsfeprpveesdh.U o smraudael lwxijtvhl IIUnGf`ijnkixtaej PAnlqg^efbQrFa^ H1i. -2-

7 11) Bill and Kali are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of gingerbread cookie dough. Bill sold 11 packages of sugar cookie dough and 12 packages of gingerbread cookie dough for a total of $437. Kali sold 4 packages of sugar cookie dough and 6 packages of gingerbread cookie dough for a total of $190. What is the cost each of one package of sugar cookie dough and one package of gingerbread cookie dough? package of sugar cookie dough: $19, package of gingerbread cookie dough: $19 12) Mike and Anjali are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Mike sold 8 small boxes of oranges and 10 large boxes of oranges for a total of $ Anjali sold 4 small boxes of oranges and 3 large boxes of oranges for a total of $91. What is the cost each of one small box of oranges and one large box of oranges? small box of oranges: $8.20, large box of oranges: $ ) Micaela's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 12 senior citizen tickets and 6 student tickets for a total of $ The school took in $ on the second day by selling 6 senior citizen tickets and 5 student tickets. Find the price of a senior citizen ticket and the price of a student ticket. senior citizen ticket: $8.14, student ticket: $ ) Trevon and Emily each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Trevon spent $28.80 on 1 daylily and 9 pots of ivy. Emily spent $72.80 on 6 daylilies and 14 pots of ivy. What is the cost of one daylily and the cost of one pot of ivy? daylily: $6.30, pot of ivy: $ ) Jack and Kristin each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store. Jack spent $60 on 4 rose bushes and 5 shrubs. Kristin spent $158 on 14 rose bushes and 11 shrubs. Find the cost of one rose bush and the cost of one shrub. rose bush: $5, shrub: $8 D e2^0w1j4x JK\uNtda] IS]oZfgtLwEaIrbeP UL`LOCd.T r fagl^lk hrqicgjhetgsp DrQehsHeErJviehdK.H ] AMBardgeh ^wfivtsha WIMnBfCiInxiptUe` SAZlpghexbTrzaH x1d. -3-

8 16) Jack's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 14 senior citizen tickets and 4 student tickets for a total of $170. The school took in $164 on the second day by selling 6 senior citizen tickets and 10 student tickets. Find the price of a senior citizen ticket and the price of a student ticket. senior citizen ticket: $9, student ticket: $11 17) Elisa and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Elisa sold 13 rolls of plain wrapping paper and 12 rolls of shiny wrapping paper for a total of $184. Kali sold 7 rolls of plain wrapping paper and 9 rolls of shiny wrapping paper for a total of $127. What is the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper? roll of plain wrapping paper: $4, roll of shiny wrapping paper: $11 18) Mary and Rob are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecakes and strawberry cheesecakes. Mary sold 9 pecan cheesecakes and 8 strawberry cheesecakes for a total of $ Rob sold 13 pecan cheesecakes and 14 strawberry cheesecakes for a total of $ Find the cost each of one pecan cheesecake and one strawberry cheesecake. pecan cheesecake: $13.70, strawberry cheesecake: $ ) Natalie and DeShawn each improved their yards by planting rose bushes and ivy. They bought their supplies from the same store. Natalie spent $ on 7 rose bushes and 11 pots of ivy. DeShawn spent $72.60 on 4 rose bushes and 10 pots of ivy. What is the cost of one rose bush and the cost of one pot of ivy? rose bush: $10.40, pot of ivy: $ ) Jessica's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 2 adult tickets and 10 child tickets for a total of $89. The school took in $ on the second day by selling 11 adult tickets and 4 child tickets. Find the price of an adult ticket and the price of a child ticket. adult ticket: $15, child ticket: $5.90 q ^2s0H1W4m lktuvtea\ is[offftkwsasrdeh nlqlvcs.\ t laslilo yr`ivgahztqsn wrcesspelrvvaetdw.x O pmsaudfer DwTiltzh_ lioncfwihneiztte` `ARlVgheObsrWau E1H. -4-