A cake cost twice as much as a biscuit at a nearby food outlet. Bryan spent 14 of his money on some biscuits and half of the remaining sum on 3 cakes. He had $9 left.
- What was the cost of 1 biscuit?
- Flynn bought 5 cakes and 2 biscuits. How much did he spend altogether?
(a)
Fraction of Bryan's amount left after buying the biscuits
= 1 -
14 =
34 Fraction of Bryan's amount spent on the cakes
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Bryan had left = 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Amount that Bryan had left = Amount spent on 3 cakes
Cost of 3 cakes = $9
Cost of 1 cake = 9 ÷ 3 = $3
Cost of 1 cake is 2 times as much as the cost of 1 biscuit.
Cost of 1 biscuit
= 3 ÷ 2
= $1.50
(b)
Cost of 5 cakes and 2 biscuits
= 5 x 3 + 2 x 1.50
= 15 + 3
= $18
Answer(s): (a) $1.50; (b) $18
