A pizza cost five times as much as a cupcake at a nearby eatery. Archie spent 14 of his money on some cupcakes and half of the remaining sum on 3 pizzas. He had $27 left.
- What was the cost of 1 cupcake?
- Jack bought 2 pizzas and 5 cupcakes. How much did he spend altogether?
(a)
Fraction of Archie's amount left after buying the cupcakes
= 1 -
14 =
34 Fraction of Archie's amount spent on the pizzas
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Archie had left = 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Amount that Archie had left = Amount spent on 3 pizzas
Cost of 3 pizzas = $27
Cost of 1 pizza = 27 ÷ 3 = $9
Cost of 1 pizza is 5 times as much as the cost of 1 cupcake.
Cost of 1 cupcake
= 9 ÷ 5
= $1.80
(b)
Cost of 2 pizzas and 5 cupcakes
= 2 x 9 + 5 x 1.80
= 18 + 9
= $27
Answer(s): (a) $1.80; (b) $27
