Mathematics Curriculum Centre Samuel, a shopkeeper, bought some Christmas hampers containing bars ofsoapbottles ofbath oil bars of soap and bottles of.

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Presentation transcript:

Mathematics Curriculum Centre Samuel, a shopkeeper, bought some Christmas hampers containing bars ofsoapbottles ofbath oil bars of soap and bottles of bath oil.

Mathematics Curriculum Centre Samuel, a shopkeeper, bought some Christmas hampers containing bars ofsoapbottles ofbath oil bars of soap and bottles of bath oil. However he did not manage to sell some of them during the Christmas season. So he decided to remove the wrappers soapbath oil and sell the soap and bath oil separately.

Mathematics Curriculum Centre In the large hamper there were bars ofsoapbottles ofbath oil 4 bars of soap and 5 bottles of bath oil, costing Lm5.10

Mathematics Curriculum Centre In the small hamper there were bars ofsoapbottles ofbath oil 2 bars of soap and 2 bottles of bath oil, costing Lm2.20

Mathematics Curriculum Centre Samuel had to find out the prices of onebar ofsoaponebottle ofbath oil one bar of soap and one bottle of bath oil. How did he do it ?

Mathematics Curriculum Centre He wrote S S S S S S bar of soap cents on each bar of soap S

Mathematics Curriculum Centre and wrote S S S S S S B B B B B B B bottle ofbath oil cents on each bottle of bath oil B

Mathematics Curriculum Centre Now he noted the cost of each hamper: SB 2(S cents) + 2(B cents) = 220 cents SB 4(S cents) + 5(B cents) = 510 cents or in short…. SB 2S + 2B = 220 SB 4S + 5B = 510

Mathematics Curriculum Centre SB 2S + 2B = 220 SB 4S + 5B = 510 doubled Samuel also noted that if he doubled the smaller hamper, problem would be much simpler! the amount of soap soap would be the same, and his

Mathematics Curriculum Centre SB 2S + 2B = 220 SB 4S + 5B = 510 (x2)44440 EQUALEQUAL

Mathematics Curriculum Centre SB 2S + 2B = 220 SB 4S + 5B = 510 (x2)44440 B B = 70 B B cents is 70 cents bottle ofbath oil 70 Each bottle of bath oil costs 70 cents. By subtracting

Mathematics Curriculum Centre As... B As... B cents is 70 cents And … Then … S 4S = 510 S 4S = S 4S = 160 S S = 40 S S cents is 40 cents bar of soap40 Each bar of soap costs 40 cents. S 4S + 5(70) = 510 SB 4S + 5B = 510

Mathematics Curriculum Centre Now Samuel can sell his wares because he knows that... a bar of soap costs 40 cents and a bottle of bath oil costs 70 cents

Mathematics Curriculum Centre I want to see the solutions again I want to see the whole story again