A pizza cost twice as much as a scone at a nearby cafe. Xavier spent 14 of his money on some scones and half of the remaining sum on 3 pizzas. He had $21 left.
- What was the cost of 1 scone?
- Will bought 2 pizzas and 4 scones. How much did he spend altogether?
(a)
Fraction of Xavier's amount left after buying the scones
= 1 -
14 =
34 Fraction of Xavier's amount spent on the pizzas
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Xavier had left = 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Amount that Xavier had left = Amount spent on 3 pizzas
Cost of 3 pizzas = $21
Cost of 1 pizza = 21 ÷ 3 = $7
Cost of 1 pizza is 2 times as much as the cost of 1 scone.
Cost of 1 scone
= 7 ÷ 2
= $3.50
(b)
Cost of 2 pizzas and 4 scones
= 2 x 7 + 4 x 3.50
= 14 + 14
= $28
Answer(s): (a) $3.50; (b) $28
