A pie cost five times as much as a macaron at a nearby cafe. Glen spent 14 of his money on some macarons and half of the remaining sum on 3 pies. He had $21 left.
- What was the cost of 1 macaron?
- Ahmad bought 4 pies and 5 macarons. How much did he spend altogether?
(a)
Fraction of Glen's amount left after buying the macarons
= 1 -
14 =
34 Fraction of Glen's amount spent on the pies
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Glen had left = 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Amount that Glen had left = Amount spent on 3 pies
Cost of 3 pies = $21
Cost of 1 pie = 21 ÷ 3 = $7
Cost of 1 pie is 5 times as much as the cost of 1 macaron.
Cost of 1 macaron
= 7 ÷ 5
= $1.40
(b)
Cost of 4 pies and 5 macarons
= 4 x 7 + 5 x 1.40
= 28 + 7
= $35
Answer(s): (a) $1.40; (b) $35
