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primary 6 | Maths
| Measurement

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The equilateral triangle's sides are the same length as the square's sides.

So PST and QTR are isosceles triangles.

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Cookies are sold at 5 for 2 dollars

Lollipops are sold at 3 for 5 dollars

Mary paid $408 for some cookies and lollipops. She packed them into bags such that each bag has 3 cookies and 2 lollipops. There was no cookies and lollipops left unpacked. How many bags of cookies and lollipops did Mary pack?

① 1 bag has 3 cookies and 2 lollipops

② 5 cookies cost $2

③ 3 lollipops cost $5

Trick is to multiply the number of bags such that the total cookies can be divided by 5 and total lollipops can be divided by 3.

1 bag has 3 cookies and 2 lollipops.2 lollipops cannot be divided by 3.

But if we multiply number of bags by 3,

3 bags : 9 cookies and 6 lollipops

Now 6 lollipops can be divided by 3, but 9 cookies cannot be divided by 5. But if we multiply by 5 now, it would be divisible by 5.

Multiply by 5,

15 bags : 45 cookies and 30 lollipops

45 cookies ÷ 5 cookies per set = 9 sets

So 45 cookies cost 9 x $2 = $18

30 lollipops ÷ 3 cookies per set = 10 sets

So 30 cookies cost 10 x $5 = $50

Total cost of 15 bags

= $50 + $18

= $68

Now the total paid was $408.

$408 ÷ $68 = 6

So there are 6 sets of 15 bags.

Which means that total number of bags packed

= 6 x 15

= 90