A strudel cost five times as much as a doughnut at a nearby coffee shop. Tom spent 16 of his money on some doughnuts and half of the remaining sum on 5 strudels. He had $10 left.
- What was the cost of 1 doughnut?
- Oliver bought 2 strudels and 5 doughnuts. How much did he spend altogether?
(a)
Fraction of Tom's amount left after buying the doughnuts
= 1 -
16 =
56 Fraction of Tom's amount spent on the strudels
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Tom had left = 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Amount that Tom had left = Amount spent on 5 strudels
Cost of 5 strudels = $10
Cost of 1 strudel = 10 ÷ 5 = $2
Cost of 1 strudel is 5 times as much as the cost of 1 doughnut.
Cost of 1 doughnut
= 2 ÷ 5
= $0.40
(b)
Cost of 2 strudels and 5 doughnuts
= 2 x 2 + 5 x 0.40
= 4 + 2
= $6
Answer(s): (a) $0.40; (b) $6
