A strudel cost four times as much as a puff at a nearby eatery. Gabriel 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?
- John bought 5 strudels and 4 puffs. How much did he spend altogether?
(a)
Fraction of Gabriel's amount left after buying the puffs
= 1 -
16 =
56 Fraction of Gabriel's amount spent on the strudels
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Gabriel had left = 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Amount that Gabriel 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 5 strudels and 4 puffs
= 5 x 10 + 4 x 2.50
= 50 + 10
= $60
Answer(s): (a) $2.50; (b) $60
