A pizza cost twice as much as a doughnut at a nearby food outlet. Rael spent 14 of his money on some doughnuts and half of the remaining sum on 3 pizzas. He had $21 left.
- What was the cost of 1 doughnut?
- Tom bought 5 pizzas and 2 doughnuts. How much did he spend altogether?
(a)
Fraction of Rael's amount left after buying the doughnuts
= 1 -
14 =
34 Fraction of Rael's amount spent on the pizzas
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Rael had left = 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Amount that Rael 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 doughnut.
Cost of 1 doughnut
= 7 ÷ 2
= $3.50
(b)
Cost of 5 pizzas and 2 doughnuts
= 5 x 7 + 2 x 3.50
= 35 + 7
= $42
Answer(s): (a) $3.50; (b) $42
