A cake cost twice as much as a muffin at a nearby restaurant. Riordan spent 16 of his money on some muffins and half of the remaining sum on 5 cakes. He had $15 left.
- What was the cost of 1 muffin?
- Archie bought 5 cakes and 2 muffins. How much did he spend altogether?
(a)
Fraction of Riordan's amount left after buying the muffins
= 1 -
16 =
56 Fraction of Riordan's amount spent on the cakes
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Riordan had left = 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Amount that Riordan had left = Amount spent on 5 cakes
Cost of 5 cakes = $15
Cost of 1 cake = 15 ÷ 5 = $3
Cost of 1 cake is 2 times as much as the cost of 1 muffin.
Cost of 1 muffin
= 3 ÷ 2
= $1.50
(b)
Cost of 5 cakes and 2 muffins
= 5 x 3 + 2 x 1.50
= 15 + 3
= $18
Answer(s): (a) $1.50; (b) $18
