Money - Hire Purchase

Transcription

1 Mney - Hire Purchase Pre-requisites: Additin and subtractin f mney quantities Rates & Direct Prprtin Unequal Sharing Practice Questin 2 $2500? $400 $400 $400 $400 Tpics: Elements f Hire Purchase Calculatin f Hire Purchase, depsit is given as an amunt Calculatin f H.P., depsit given as percentage. Practice 1: Rates Mney amunts ver a perid Teacher Student - Write Frty-five dllars and thirty cents. Write $ Say, What is $45.30 daily fr 9 days? repeat with 10, 12, 15, etc - Mdel What is $ mnthly fr mnths. Practice 2: Explring Tape Diagrams $ Carefully lk at the diagram. Discuss with yur partner hw yu can calculate fr the missing parts t each tape diagram. Practice Questin 1 $5000 % Practice Questin 3 $6000? $ $ $ $ $ $ $ $ 20% Practice Questin 4? $2000 $ $ $ $ $ $660 $ $ $ $ % 30%

2 Number f students Friday Thursday Wednesday Tuesday Mnday S.E.A. Applicatin Prblems Yu have eight (13) minutes t d the next three (5) questins. TIME YOURSELF 1. The graph belw shws the number f children buying ice-cream frm Mnday t Friday. b. Redistribute the blcks s that there are equal students n each day. c. Calculate the average number f children wh buy ice-cream each day. Represents 14 children a. Hw many mre children bught ice-cream n Mnday than Wednesday? 2. Ravi has 56 marbles. Sctt has half as many as Ravi. Hw many marbles d they have ALTOGETHER?

3 3. 4 wrkers build a wall in 18 hurs. Every tw hurs wrked, they wrk rest fr 1 hur. a. Hw many hurs did the wrkers wrk? 4. A farmer harvested 600 peppers frm his garden. He sld 90% f the peppers and gave the remainder t the pr. a. Hw many did he give away? b. Hw many hurs will ne wrker take t build the wall if he des nt rest? b. The farmer bagged the pepper int sets f 5 and charged $6.50 Calculate hw much mney he made frm the peppers in part (a)

4 5. Allan shared a bag f manges with his friends. He gave 1 t Jenny 5 and 1 f the remainder t Paul. 3 a. What fractin f manges did Paul get? Elements f Hire Purchase Hire Purchase (H.P.) is a ppular way f buying expensive gds. Using H.P. yu usually pay a depsit r dwn payment first and the remainder by mnthly instalments. MATH FACT #: There are fur main parts t a hire purchase questin. 1. Cash Price the actual r ttal price f the item. 2. Depsit r Dwn Payment part f the ttal price that is first paid befre instalments are made. 3. Instalment the repeated payments made weekly r mntly. 4. Number instalments The rate the instalments shuld be paid. Example b. What fractin f the manges did Allan give t his bth friends? Tm wants t buy a TV thrugh H.P. He has been asked t make a depsit f ne fifth f the ttal price f $200. The remainer will be paid in 8 mnthly instalments at $20 each mnth. Read the prblem abve and recrd the fllwing amunts belw.

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6 A REAL WORD PROBLEM example f HIRE PURCHASE a) Hw many days wuld yu have t pay 25 cents? b) Hw much did yu pay fr the candy altgether? 6. Ms. Amelia is selling an assrted bag f candy fr $ Ms. Amelia ffers t give yu the candy fr a charge f $2.50 n the first f August and yu pay 25 cents each day fr the rest f the mnth. c) Did yu r Ms. Amelia benefit frm the agreement? By hw much was that benefit?

7 Calculatin f Hire Purchase depsit is given as an amunt = $ + $ Often, using H.P yu pay a depsit first and the remainder by mnthly instalments. T calculate the ttal H.P. price yu have t add tgether the depsit and the ttal f all f the instalments. MATH FACT #: Hire Purchase is a frm f unequal sharing. H. P. = Dwnpayment + Ttal Instalments Example A new TV csts $1200 cash. It is available n H.P. by paying a $500 depsit then 6 instalments f $ = $ 7. Mr. Jseph pays $4000 dwn n a furniture set and is charged $375 fr the next 24 mnths. Hw much did Mr. Jseph pay fr the furniture altgether? Wrking Find the ttal H.P. price. First we calculate the depsit: Depsit = $500 Nw we need t calculate the ttal instalments: Ttal instalments = instalment number f instalments = $ x 6 = $ We can nw find the ttal H.P. cst H.P. cst = depsit + ttal instalments

8 8. The cash price fr a radi is $600. A stre sells the radi n hire purchase fr zer dllars dwn and $40 mnthly instalments fr 18 mnths. b. What is the difference between the cash price and hire purchase? a. Hw much will a custmer pay fr the radi if he pays using hire purchase? Try t make up yur wn hire purchase prblem. As a guide, be sure yu have the fllwing:

9 Calculatin f Hire Purchase depsit given as percentage Many times in H.P, yur depsit is a percentage f the cash price f the item. T change the depsit frm a percentage t a mney amunt, yu have t multiply tgether the percentage and cash price.. = $ + $ = $ MATH FACT #: Depist (part) = Percentage Cash Price (ttal) Example A new TV csts $690 cash. It is available n H.P. by paying a depsit f 15% fllwed by 12 instalments f $ A Samsung cellular phnes csts $6000. Digicel has a sale f 25% dwn payment and payments f $400 mnthly fr 2 years. a. Hw much is the custmer s dwn payment? Wrking Find the ttal H.P. price. First we calculate the depsit: Depsit = 15% f the cash price = = $ Next, we calculate the ttal instalments: Ttal instalments = instalment number f instalments = $55.85 x 12 = $ We can nw find the ttal H.P. cst H.P. cst = depsit + ttal instalments

10 b. What is the hire purchase price paid by the custmer? a. Which CUSTOMER pay the greater depsit? 10. At Curts, a televisin is ffered n 2 hire purchase ptins. CUSTOMER A pays $400 dwn payment and $ mnthly b. What is the difference in the hire purchase prices f CUSTOMER A and CUSTOMER B? fr 8 mnths. CUSTOMER B pays 33 1 % depsit and a dzen 3 equal payments f $ $ CUSTOMER A Cash Price = Depsit r Dwn Payment = Instalment = Number f instalments = CUSTOMER B Cash Price = Depsit r Dwn Payment = Instalment = Number f instalments =

11 Try t make up yur wn hire purchase prblem. As a guide, be sure yu have the fllwing: OTHER CALCULATIONS: Other times in H.P., yu may have t calculate the mnthly r weekly instalment that yu must pay. Calculating Instalments MATH FACT #: Hire Purchase is a frm f unequal sharing. H. P. = Dwnpayment + (instalment number f perids ) The cash price f a bike is $220. The hire purchase price is $300. If the depsit is 10% fllwed by 10 equal mnthly instalments, find the amunt yu pay each mnth. First calculate the depsit: Depsit = 10% f $220 = $22.00 Nw we need t calculate the ttal instalments: Ttal instalments = H.P price - depsit = $300 - $22 = $278 Nw we can wrk ut what each instalment will be Individual instalments = ttal instalments number f instalments = $ = $27.80 Practice: Feel free t lk fr the chapter n Hire Purchase in yur Math text. D sme f the wrded prblems utlined in yur text.