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