mathematics curriculum centre samuel, a shopkeeper, bought some christmas hampers containing bars...

Mathematics Curriculum Centre

Samuel, a shopkeeper, boughtsome Christmas hampers containingbars ofbars of soapsoap and bottles ofbottles of bath oilbath oil.


Samuel, a shopkeeper, boughtsome Christmas hampers containingbars ofbars of soapsoap and bottles ofbottles of bath oilbath oil.

However he did not manage to sell someof them during the Christmas season.

So he decided to remove the wrappersand sell the soapsoap and bath oilbath oil separately.


In the large hamper there were

4 bars ofbars of soapsoap and 5 bottles ofbottles of bath oilbath oil,costing Lm5.10


In the small hamper there were

2 bars ofbars of soapsoap and 2 bottles ofbottles of bath oilbath oil,costing Lm2.20


Samuel had to find out the prices ofoneone bar ofbar of soapsoap and oneone bottle ofbottle of bath oilbath oil.

How did he do it?


He wrote

SS

SSSS

SS

SSSS

cents on each bar of bar of soapsoap

SS


and wrote

SS

SSSS

SS

SSSS

BBBB

BBBB

BB

BB BB

cents on each bottle ofbottle of bath bath oiloil

BB


Now he noted the cost of each hamper:

2(SS cents) + 2(BB cents) = 220 cents

4(SS cents) + 5(BB cents) = 510 cents

or in short….2SS + 2BB = 220

4SS + 5BB = 510


2SS + 2BB = 220

4SS + 5BB = 510

Samuel also noted that if he doubleddoubled the smaller hamper,

problem would be much simpler!

the amount ofsoapsoap would be the

same,and his


2SS + 2BB = 220

4SS + 5BB = 510

(x2)(x2) 44 44 440440

EQUAL


2SS + 2BB = 220

4SS + 5BB = 510

(x2)(x2) 44 44 440440

BB = 70

BB cents is 70 cents

Each bottle ofbottle of bath oil bath oil costs 7070 cents.

By subtracting


As ...As ... B B cents is 70 cents

And …

Then …

4SS + 350 = 510

4SS = 510 - 350

4SS = 160

SS = 40SS cents is 40 cents

Each bar of soapbar of soap costs 4040 cents.

4SS + 5(70) = 510

4SS + 5BB = 510


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


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mathematics curriculum centre samuel, a shopkeeper, bought some christmas hampers containing bars...

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