A strudel cost four times as much as a scone at a nearby canteen. Luis spent 16 of his money on some scones and half of the remaining sum on 5 strudels. He had $30 left.
- What was the cost of 1 scone?
- Neave bought 5 strudels and 2 scones. How much did he spend altogether?
(a)
Fraction of Luis's amount left after buying the scones
= 1 -
16 =
56 Fraction of Luis's amount spent on the strudels
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Luis had left = 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Amount that Luis had left = Amount spent on 5 strudels
Cost of 5 strudels = $30
Cost of 1 strudel = 30 ÷ 5 = $6
Cost of 1 strudel is 4 times as much as the cost of 1 scone.
Cost of 1 scone
= 6 ÷ 4
= $1.50
(b)
Cost of 5 strudels and 2 scones
= 5 x 6 + 2 x 1.50
= 30 + 3
= $33
Answer(s): (a) $1.50; (b) $33
