A strudel cost four times as much as a macaron at a nearby eating house. Warren spent 16 of his money on some macarons and half of the remaining sum on 5 strudels. He had $10 left.
- What was the cost of 1 macaron?
- Seth bought 4 strudels and 2 macarons. How much did he spend altogether?
(a)
Fraction of Warren's amount left after buying the macarons
= 1 -
16 =
56 Fraction of Warren's amount spent on the strudels
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Warren had left = 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Amount that Warren had left = Amount spent on 5 strudels
Cost of 5 strudels = $10
Cost of 1 strudel = 10 ÷ 5 = $2
Cost of 1 strudel is 4 times as much as the cost of 1 macaron.
Cost of 1 macaron
= 2 ÷ 4
= $0.50
(b)
Cost of 4 strudels and 2 macarons
= 4 x 2 + 2 x 0.50
= 8 + 1
= $9
Answer(s): (a) $0.50; (b) $9