A cake cost twice as much as a cupcake at a nearby coffee shop. Ken spent 14 of his money on some cupcakes and half of the remaining sum on 3 cakes. He had $21 left.
- What was the cost of 1 cupcake?
- Zane bought 4 cakes and 2 cupcakes. How much did he spend altogether?
(a)
Fraction of Ken's amount left after buying the cupcakes
= 1 -
14 =
34 Fraction of Ken's amount spent on the cakes
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Ken had left = 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Amount that Ken had left = Amount spent on 3 cakes
Cost of 3 cakes = $21
Cost of 1 cake = 21 ÷ 3 = $7
Cost of 1 cake is 2 times as much as the cost of 1 cupcake.
Cost of 1 cupcake
= 7 ÷ 2
= $3.50
(b)
Cost of 4 cakes and 2 cupcakes
= 4 x 7 + 2 x 3.50
= 28 + 7
= $35
Answer(s): (a) $3.50; (b) $35
