A cake cost five times as much as a tart at a nearby eating house. Tommy spent 14 of his money on some tarts and half of the remaining sum on 3 cakes. He had $21 left.
- What was the cost of 1 tart?
- Dylan bought 3 cakes and 5 tarts. How much did he spend altogether?
(a)
Fraction of Tommy's amount left after buying the tarts
= 1 -
14 =
34 Fraction of Tommy's amount spent on the cakes
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Tommy had left = 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Amount that Tommy had left = Amount spent on 3 cakes
Cost of 3 cakes = $21
Cost of 1 cake = 21 ÷ 3 = $7
Cost of 1 cake is 5 times as much as the cost of 1 tart.
Cost of 1 tart
= 7 ÷ 5
= $1.40
(b)
Cost of 3 cakes and 5 tarts
= 3 x 7 + 5 x 1.40
= 21 + 7
= $28
Answer(s): (a) $1.40; (b) $28