A pie cost twice as much as a biscuit at a nearby canteen. Bryan spent 14 of his money on some biscuits and half of the remaining sum on 3 pies. He had $21 left.
- What was the cost of 1 biscuit?
- Neave bought 3 pies 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 pies
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Bryan had left = 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Amount that Bryan had left = Amount spent on 3 pies
Cost of 3 pies = $21
Cost of 1 pie = 21 ÷ 3 = $7
Cost of 1 pie is 2 times as much as the cost of 1 biscuit.
Cost of 1 biscuit
= 7 ÷ 2
= $3.50
(b)
Cost of 3 pies and 2 biscuits
= 3 x 7 + 2 x 3.50
= 21 + 7
= $28
Answer(s): (a) $3.50; (b) $28
