A cake cost four times as much as a muffin at a nearby eatery. Nick spent 16 of his money on some muffins and half of the remaining sum on 5 cakes. He had $50 left.
- What was the cost of 1 muffin?
- Liam bought 3 cakes and 2 muffins. How much did he spend altogether?
(a)
Fraction of Nick's amount left after buying the muffins
= 1 -
16 =
56 Fraction of Nick's amount spent on the cakes
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Nick had left = 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Amount that Nick had left = Amount spent on 5 cakes
Cost of 5 cakes = $50
Cost of 1 cake = 50 ÷ 5 = $10
Cost of 1 cake is 4 times as much as the cost of 1 muffin.
Cost of 1 muffin
= 10 ÷ 4
= $2.50
(b)
Cost of 3 cakes and 2 muffins
= 3 x 10 + 2 x 2.50
= 30 + 5
= $35
Answer(s): (a) $2.50; (b) $35
