A pizza cost four times as much as a scone at a nearby food outlet. Charlie spent 14 of his money on some scones and half of the remaining sum on 3 pizzas. He had $30 left.
- What was the cost of 1 scone?
- Rael bought 5 pizzas and 2 scones. How much did he spend altogether?
(a)
Fraction of Charlie's amount left after buying the scones
= 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 = 30
1 u = 30 ÷ 3 = 10
Amount that Charlie had left = Amount spent on 3 pizzas
Cost of 3 pizzas = $30
Cost of 1 pizza = 30 ÷ 3 = $10
Cost of 1 pizza is 4 times as much as the cost of 1 scone.
Cost of 1 scone
= 10 ÷ 4
= $2.50
(b)
Cost of 5 pizzas and 2 scones
= 5 x 10 + 2 x 2.50
= 50 + 5
= $55
Answer(s): (a) $2.50; (b) $55
