A strudel cost five times as much as a wafer at a nearby food outlet. Xavier spent 16 of his money on some wafers and half of the remaining sum on 5 strudels. He had $35 left.
- What was the cost of 1 wafer?
- Paul bought 4 strudels and 5 wafers. How much did he spend altogether?
(a)
Fraction of Xavier's amount left after buying the wafers
= 1 -
16 =
56 Fraction of Xavier's amount spent on the strudels
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Xavier had left = 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Amount that Xavier had left = Amount spent on 5 strudels
Cost of 5 strudels = $35
Cost of 1 strudel = 35 ÷ 5 = $7
Cost of 1 strudel is 5 times as much as the cost of 1 wafer.
Cost of 1 wafer
= 7 ÷ 5
= $1.40
(b)
Cost of 4 strudels and 5 wafers
= 4 x 7 + 5 x 1.40
= 28 + 7
= $35
Answer(s): (a) $1.40; (b) $35
