A strudel cost twice as much as a biscuit at a nearby cafe. Andy spent 16 of his money on some biscuits and half of the remaining sum on 5 strudels. He had $45 left.
- What was the cost of 1 biscuit?
- Riordan bought 5 strudels and 2 biscuits. How much did he spend altogether?
(a)
Fraction of Andy's amount left after buying the biscuits
= 1 -
16 =
56 Fraction of Andy's amount spent on the strudels
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Andy had left = 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Amount that Andy had left = Amount spent on 5 strudels
Cost of 5 strudels = $45
Cost of 1 strudel = 45 ÷ 5 = $9
Cost of 1 strudel is 2 times as much as the cost of 1 biscuit.
Cost of 1 biscuit
= 9 ÷ 2
= $4.50
(b)
Cost of 5 strudels and 2 biscuits
= 5 x 9 + 2 x 4.50
= 45 + 9
= $54
Answer(s): (a) $4.50; (b) $54