A pie cost five times as much as a cupcake at a nearby eatery. Charlie spent 16 of his money on some cupcakes and half of the remaining sum on 5 pies. He had $20 left.
- What was the cost of 1 cupcake?
- Simon bought 3 pies and 5 cupcakes. How much did he spend altogether?
(a)
Fraction of Charlie's amount left after buying the cupcakes
= 1 -
16 =
56 Fraction of Charlie's amount spent on the pies
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Charlie had left = 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Amount that Charlie had left = Amount spent on 5 pies
Cost of 5 pies = $20
Cost of 1 pie = 20 ÷ 5 = $4
Cost of 1 pie is 5 times as much as the cost of 1 cupcake.
Cost of 1 cupcake
= 4 ÷ 5
= $0.80
(b)
Cost of 3 pies and 5 cupcakes
= 3 x 4 + 5 x 0.80
= 12 + 4
= $16
Answer(s): (a) $0.80; (b) $16
