A strudel cost twice as much as a wafer at a nearby restaurant. Michael spent 14 of his money on some wafers and half of the remaining sum on 3 strudels. He had $9 left.
- What was the cost of 1 wafer?
- Xavier bought 3 strudels and 2 wafers. How much did he spend altogether?
(a)
Fraction of Michael's amount left after buying the wafers
= 1 -
14 =
34 Fraction of Michael's amount spent on the strudels
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Michael had left = 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Amount that Michael had left = Amount spent on 3 strudels
Cost of 3 strudels = $9
Cost of 1 strudel = 9 ÷ 3 = $3
Cost of 1 strudel is 2 times as much as the cost of 1 wafer.
Cost of 1 wafer
= 3 ÷ 2
= $1.50
(b)
Cost of 3 strudels and 2 wafers
= 3 x 3 + 2 x 1.50
= 9 + 3
= $12
Answer(s): (a) $1.50; (b) $12