A cake cost four times as much as a biscuit at a nearby food outlet. Dylan spent 14 of his money on some biscuits and half of the remaining sum on 3 cakes. He had $30 left.
- What was the cost of 1 biscuit?
- Liam bought 3 cakes and 2 biscuits. How much did he spend altogether?
(a)
Fraction of Dylan's amount left after buying the biscuits
= 1 -
14 =
34 Fraction of Dylan's amount spent on the cakes
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Dylan had left = 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Amount that Dylan had left = Amount spent on 3 cakes
Cost of 3 cakes = $30
Cost of 1 cake = 30 ÷ 3 = $10
Cost of 1 cake is 4 times as much as the cost of 1 biscuit.
Cost of 1 biscuit
= 10 ÷ 4
= $2.50
(b)
Cost of 3 cakes and 2 biscuits
= 3 x 10 + 2 x 2.50
= 30 + 5
= $35
Answer(s): (a) $2.50; (b) $35
