A pie cost twice as much as a biscuit at a nearby canteen. Jack spent 16 of his money on some biscuits and half of the remaining sum on 5 pies. He had $15 left.
- What was the cost of 1 biscuit?
- Ian bought 3 pies and 4 biscuits. How much did he spend altogether?
(a)
Fraction of Jack's amount left after buying the biscuits
= 1 -
16 =
56 Fraction of Jack's amount spent on the pies
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Jack had left = 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Amount that Jack had left = Amount spent on 5 pies
Cost of 5 pies = $15
Cost of 1 pie = 15 ÷ 5 = $3
Cost of 1 pie is 2 times as much as the cost of 1 biscuit.
Cost of 1 biscuit
= 3 ÷ 2
= $1.50
(b)
Cost of 3 pies and 4 biscuits
= 3 x 3 + 4 x 1.50
= 9 + 6
= $15
Answer(s): (a) $1.50; (b) $15
