A pizza cost five times as much as a muffin at a nearby cafe. Ken spent 14 of his money on some muffins and half of the remaining sum on 3 pizzas. He had $18 left.
- What was the cost of 1 muffin?
- Asher bought 4 pizzas and 5 muffins. How much did he spend altogether?
(a)
Fraction of Ken's amount left after buying the muffins
= 1 -
14 =
34 Fraction of Ken's amount spent on the pizzas
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Ken had left = 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Amount that Ken had left = Amount spent on 3 pizzas
Cost of 3 pizzas = $18
Cost of 1 pizza = 18 ÷ 3 = $6
Cost of 1 pizza is 5 times as much as the cost of 1 muffin.
Cost of 1 muffin
= 6 ÷ 5
= $1.20
(b)
Cost of 4 pizzas and 5 muffins
= 4 x 6 + 5 x 1.20
= 24 + 6
= $30
Answer(s): (a) $1.20; (b) $30
