A pie cost five times as much as a biscuit at a nearby eatery. Wesley 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?
- Fred bought 2 pies and 5 biscuits. How much did he spend altogether?
(a)
Fraction of Wesley's amount left after buying the biscuits
= 1 -
16 =
56 Fraction of Wesley's amount spent on the pies
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Wesley had left = 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Amount that Wesley had left = Amount spent on 5 pies
Cost of 5 pies = $15
Cost of 1 pie = 15 ÷ 5 = $3
Cost of 1 pie is 5 times as much as the cost of 1 biscuit.
Cost of 1 biscuit
= 3 ÷ 5
= $0.60
(b)
Cost of 2 pies and 5 biscuits
= 2 x 3 + 5 x 0.60
= 6 + 3
= $9
Answer(s): (a) $0.60; (b) $9