A pizza cost four times as much as a macaron at a nearby eatery. Cody spent 16 of his money on some macarons and half of the remaining sum on 5 pizzas. He had $30 left.
- What was the cost of 1 macaron?
- Will bought 3 pizzas and 2 macarons. How much did he spend altogether?
(a)
Fraction of Cody's amount left after buying the macarons
= 1 -
16 =
56 Fraction of Cody's amount spent on the pizzas
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Cody had left = 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Amount that Cody had left = Amount spent on 5 pizzas
Cost of 5 pizzas = $30
Cost of 1 pizza = 30 ÷ 5 = $6
Cost of 1 pizza is 4 times as much as the cost of 1 macaron.
Cost of 1 macaron
= 6 ÷ 4
= $1.50
(b)
Cost of 3 pizzas and 2 macarons
= 3 x 6 + 2 x 1.50
= 18 + 3
= $21
Answer(s): (a) $1.50; (b) $21