A strudel cost four times as much as a puff at a nearby coffee shop. Dylan spent 16 of his money on some puffs and half of the remaining sum on 5 strudels. He had $50 left.
- What was the cost of 1 puff?
- Cody bought 2 strudels and 4 puffs. How much did he spend altogether?
(a)
Fraction of Dylan's amount left after buying the puffs
= 1 -
16 =
56 Fraction of Dylan's amount spent on the strudels
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Dylan had left = 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Amount that Dylan had left = Amount spent on 5 strudels
Cost of 5 strudels = $50
Cost of 1 strudel = 50 ÷ 5 = $10
Cost of 1 strudel is 4 times as much as the cost of 1 puff.
Cost of 1 puff
= 10 ÷ 4
= $2.50
(b)
Cost of 2 strudels and 4 puffs
= 2 x 10 + 4 x 2.50
= 20 + 10
= $30
Answer(s): (a) $2.50; (b) $30