Tip :


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

So PST and QTR are isosceles triangles.

Thank you!
If you can, could you help with this question too?
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?

Info given:

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

Done editing. Hope it helps and if you got any queries feel free to ask.