A cake cost twice as much as a tart at a nearby eatery. Charlie spent 14 of his money on some tarts and half of the remaining sum on 3 cakes. He had $15 left.
- What was the cost of 1 tart?
- Ryan bought 2 cakes and 4 tarts. How much did he spend altogether?
(a)
Fraction of Charlie's amount left after buying the tarts
= 1 -
14 =
34 Fraction of Charlie's amount spent on the cakes
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Charlie had left = 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Amount that Charlie had left = Amount spent on 3 cakes
Cost of 3 cakes = $15
Cost of 1 cake = 15 ÷ 3 = $5
Cost of 1 cake is 2 times as much as the cost of 1 tart.
Cost of 1 tart
= 5 ÷ 2
= $2.50
(b)
Cost of 2 cakes and 4 tarts
= 2 x 5 + 4 x 2.50
= 10 + 10
= $20
Answer(s): (a) $2.50; (b) $20
