A pie cost four times as much as a puff at a nearby cafe. Paul spent 14 of his money on some puffs and half of the remaining sum on 3 pies. He had $18 left.
- What was the cost of 1 puff?
- Vaidev bought 2 pies and 4 puffs. How much did he spend altogether?
(a)
Fraction of Paul's amount left after buying the puffs
= 1 -
14 =
34 Fraction of Paul's amount spent on the pies
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Paul had left = 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Amount that Paul had left = Amount spent on 3 pies
Cost of 3 pies = $18
Cost of 1 pie = 18 ÷ 3 = $6
Cost of 1 pie is 4 times as much as the cost of 1 puff.
Cost of 1 puff
= 6 ÷ 4
= $1.50
(b)
Cost of 2 pies and 4 puffs
= 2 x 6 + 4 x 1.50
= 12 + 6
= $18
Answer(s): (a) $1.50; (b) $18
