A cake cost twice as much as a tart at a nearby coffee shop. Peter spent 16 of his money on some tarts and half of the remaining sum on 5 cakes. He had $25 left.
- What was the cost of 1 tart?
- Tom bought 5 cakes and 4 tarts. How much did he spend altogether?
(a)
Fraction of Peter's amount left after buying the tarts
= 1 -
16 =
56 Fraction of Peter's amount spent on the cakes
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Peter had left = 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
Amount that Peter had left = Amount spent on 5 cakes
Cost of 5 cakes = $25
Cost of 1 cake = 25 ÷ 5 = $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 5 cakes and 4 tarts
= 5 x 5 + 4 x 2.50
= 25 + 10
= $35
Answer(s): (a) $2.50; (b) $35
