A pie cost twice as much as a tart at a nearby cafe. Eric spent 14 of his money on some tarts and half of the remaining sum on 3 pies. He had $27 left.
- What was the cost of 1 tart?
- Daniel bought 3 pies and 4 tarts. How much did he spend altogether?
(a)
Fraction of Eric's amount left after buying the tarts
= 1 -
14 =
34 Fraction of Eric's amount spent on the pies
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Eric had left = 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Amount that Eric had left = Amount spent on 3 pies
Cost of 3 pies = $27
Cost of 1 pie = 27 ÷ 3 = $9
Cost of 1 pie is 2 times as much as the cost of 1 tart.
Cost of 1 tart
= 9 ÷ 2
= $4.50
(b)
Cost of 3 pies and 4 tarts
= 3 x 9 + 4 x 4.50
= 27 + 18
= $45
Answer(s): (a) $4.50; (b) $45
