A pie cost five times as much as a muffin at a nearby coffee shop. Neave spent 16 of his money on some muffins and half of the remaining sum on 5 pies. He had $10 left.
- What was the cost of 1 muffin?
- Ethan bought 4 pies and 5 muffins. How much did he spend altogether?
(a)
Fraction of Neave's amount left after buying the muffins
= 1 -
16 =
56 Fraction of Neave's amount spent on the pies
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Neave had left = 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Amount that Neave had left = Amount spent on 5 pies
Cost of 5 pies = $10
Cost of 1 pie = 10 ÷ 5 = $2
Cost of 1 pie is 5 times as much as the cost of 1 muffin.
Cost of 1 muffin
= 2 ÷ 5
= $0.40
(b)
Cost of 4 pies and 5 muffins
= 4 x 2 + 5 x 0.40
= 8 + 2
= $10
Answer(s): (a) $0.40; (b) $10
