A strudel cost four times as much as a cupcake at a nearby eating house. Vincent spent 14 of his money on some cupcakes and half of the remaining sum on 3 strudels. He had $6 left.
- What was the cost of 1 cupcake?
- Simon bought 3 strudels and 2 cupcakes. How much did he spend altogether?
(a)
Fraction of Vincent's amount left after buying the cupcakes
= 1 -
14 =
34 Fraction of Vincent's amount spent on the strudels
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Vincent had left = 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Amount that Vincent had left = Amount spent on 3 strudels
Cost of 3 strudels = $6
Cost of 1 strudel = 6 ÷ 3 = $2
Cost of 1 strudel is 4 times as much as the cost of 1 cupcake.
Cost of 1 cupcake
= 2 ÷ 4
= $0.50
(b)
Cost of 3 strudels and 2 cupcakes
= 3 x 2 + 2 x 0.50
= 6 + 1
= $7
Answer(s): (a) $0.50; (b) $7