A pie cost five times as much as a muffin at a nearby restaurant. Jeremy spent 14 of his money on some muffins and half of the remaining sum on 3 pies. He had $9 left.
- What was the cost of 1 muffin?
- Michael bought 2 pies and 5 muffins. How much did he spend altogether?
(a)
Fraction of Jeremy's amount left after buying the muffins
= 1 -
14 =
34 Fraction of Jeremy's amount spent on the pies
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Jeremy had left = 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Amount that Jeremy had left = Amount spent on 3 pies
Cost of 3 pies = $9
Cost of 1 pie = 9 ÷ 3 = $3
Cost of 1 pie is 5 times as much as the cost of 1 muffin.
Cost of 1 muffin
= 3 ÷ 5
= $0.60
(b)
Cost of 2 pies and 5 muffins
= 2 x 3 + 5 x 0.60
= 6 + 3
= $9
Answer(s): (a) $0.60; (b) $9
