A pie cost twice as much as a doughnut at a nearby eating house. Ivan spent 14 of his money on some doughnuts and half of the remaining sum on 3 pies. He had $15 left.
- What was the cost of 1 doughnut?
- Wesley bought 4 pies and 2 doughnuts. How much did he spend altogether?
(a)
Fraction of Ivan's amount left after buying the doughnuts
= 1 -
14 =
34 Fraction of Ivan's amount spent on the pies
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Ivan had left = 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Amount that Ivan had left = Amount spent on 3 pies
Cost of 3 pies = $15
Cost of 1 pie = 15 ÷ 3 = $5
Cost of 1 pie is 2 times as much as the cost of 1 doughnut.
Cost of 1 doughnut
= 5 ÷ 2
= $2.50
(b)
Cost of 4 pies and 2 doughnuts
= 4 x 5 + 2 x 2.50
= 20 + 5
= $25
Answer(s): (a) $2.50; (b) $25
