A pie cost four times as much as a cupcake at a nearby restaurant. Valen spent 16 of his money on some cupcakes and half of the remaining sum on 5 pies. He had $10 left.
- What was the cost of 1 cupcake?
- David bought 2 pies and 4 cupcakes. How much did he spend altogether?
(a)
Fraction of Valen's amount left after buying the cupcakes
= 1 -
16 =
56 Fraction of Valen's amount spent on the pies
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Valen had left = 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Amount that Valen had left = Amount spent on 5 pies
Cost of 5 pies = $10
Cost of 1 pie = 10 ÷ 5 = $2
Cost of 1 pie is 4 times as much as the cost of 1 cupcake.
Cost of 1 cupcake
= 2 ÷ 4
= $0.50
(b)
Cost of 2 pies and 4 cupcakes
= 2 x 2 + 4 x 0.50
= 4 + 2
= $6
Answer(s): (a) $0.50; (b) $6
