A strudel cost four times as much as a macaron at a nearby eating house. Ben spent 16 of his money on some macarons and half of the remaining sum on 5 strudels. He had $50 left.
- What was the cost of 1 macaron?
- Rael bought 3 strudels and 2 macarons. How much did he spend altogether?
(a)
Fraction of Ben's amount left after buying the macarons
= 1 -
16 =
56 Fraction of Ben's amount spent on the strudels
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Ben had left = 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Amount that Ben had left = Amount spent on 5 strudels
Cost of 5 strudels = $50
Cost of 1 strudel = 50 ÷ 5 = $10
Cost of 1 strudel is 4 times as much as the cost of 1 macaron.
Cost of 1 macaron
= 10 ÷ 4
= $2.50
(b)
Cost of 3 strudels and 2 macarons
= 3 x 10 + 2 x 2.50
= 30 + 5
= $35
Answer(s): (a) $2.50; (b) $35
