A pie cost five times as much as a macaron at a nearby canteen. Japheth spent 16 of his money on some macarons and half of the remaining sum on 5 pies. He had $45 left.
- What was the cost of 1 macaron?
- Tommy bought 3 pies and 5 macarons. How much did he spend altogether?
(a)
Fraction of Japheth's amount left after buying the macarons
= 1 -
16 =
56 Fraction of Japheth's amount spent on the pies
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Japheth had left = 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Amount that Japheth had left = Amount spent on 5 pies
Cost of 5 pies = $45
Cost of 1 pie = 45 ÷ 5 = $9
Cost of 1 pie is 5 times as much as the cost of 1 macaron.
Cost of 1 macaron
= 9 ÷ 5
= $1.80
(b)
Cost of 3 pies and 5 macarons
= 3 x 9 + 5 x 1.80
= 27 + 9
= $36
Answer(s): (a) $1.80; (b) $36
