A pie cost five times as much as a biscuit at a nearby coffee shop. Carl spent 16 of his money on some biscuits and half of the remaining sum on 5 pies. He had $35 left.
- What was the cost of 1 biscuit?
- Oliver bought 3 pies and 5 biscuits. How much did he spend altogether?
(a)
Fraction of Carl's amount left after buying the biscuits
= 1 -
16 =
56 Fraction of Carl's amount spent on the pies
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Carl had left = 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Amount that Carl had left = Amount spent on 5 pies
Cost of 5 pies = $35
Cost of 1 pie = 35 ÷ 5 = $7
Cost of 1 pie is 5 times as much as the cost of 1 biscuit.
Cost of 1 biscuit
= 7 ÷ 5
= $1.40
(b)
Cost of 3 pies and 5 biscuits
= 3 x 7 + 5 x 1.40
= 21 + 7
= $28
Answer(s): (a) $1.40; (b) $28