A pizza cost five times as much as a muffin at a nearby eating house. Caden spent 16 of his money on some muffins and half of the remaining sum on 5 pizzas. He had $35 left.
- What was the cost of 1 muffin?
- Rael bought 3 pizzas and 5 muffins. How much did he spend altogether?
(a)
Fraction of Caden's amount left after buying the muffins
= 1 -
16 =
56 Fraction of Caden's amount spent on the pizzas
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Caden had left = 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Amount that Caden had left = Amount spent on 5 pizzas
Cost of 5 pizzas = $35
Cost of 1 pizza = 35 ÷ 5 = $7
Cost of 1 pizza is 5 times as much as the cost of 1 muffin.
Cost of 1 muffin
= 7 ÷ 5
= $1.40
(b)
Cost of 3 pizzas and 5 muffins
= 3 x 7 + 5 x 1.40
= 21 + 7
= $28
Answer(s): (a) $1.40; (b) $28
