A pizza cost four times as much as a doughnut at a nearby coffee shop. Charlie spent 14 of his money on some doughnuts and half of the remaining sum on 3 pizzas. He had $6 left.
- What was the cost of 1 doughnut?
- Zane bought 5 pizzas and 4 doughnuts. How much did he spend altogether?
(a)
Fraction of Charlie's amount left after buying the doughnuts
= 1 -
14 =
34 Fraction of Charlie's amount spent on the pizzas
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Charlie had left = 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Amount that Charlie had left = Amount spent on 3 pizzas
Cost of 3 pizzas = $6
Cost of 1 pizza = 6 ÷ 3 = $2
Cost of 1 pizza is 4 times as much as the cost of 1 doughnut.
Cost of 1 doughnut
= 2 ÷ 4
= $0.50
(b)
Cost of 5 pizzas and 4 doughnuts
= 5 x 2 + 4 x 0.50
= 10 + 2
= $12
Answer(s): (a) $0.50; (b) $12
