A cake cost five times as much as a tart at a nearby coffee shop. Pierre spent 16 of his money on some tarts and half of the remaining sum on 5 cakes. He had $30 left.
- What was the cost of 1 tart?
- Archie bought 3 cakes and 5 tarts. How much did he spend altogether?
(a)
Fraction of Pierre's amount left after buying the tarts
= 1 -
16 =
56 Fraction of Pierre's amount spent on the cakes
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Pierre had left = 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Amount that Pierre had left = Amount spent on 5 cakes
Cost of 5 cakes = $30
Cost of 1 cake = 30 ÷ 5 = $6
Cost of 1 cake is 5 times as much as the cost of 1 tart.
Cost of 1 tart
= 6 ÷ 5
= $1.20
(b)
Cost of 3 cakes and 5 tarts
= 3 x 6 + 5 x 1.20
= 18 + 6
= $24
Answer(s): (a) $1.20; (b) $24
