A cake cost five times as much as a muffin at a nearby food outlet. Jenson spent 14 of his money on some muffins and half of the remaining sum on 3 cakes. He had $27 left.
- What was the cost of 1 muffin?
- Xavier bought 4 cakes and 5 muffins. How much did he spend altogether?
(a)
Fraction of Jenson's amount left after buying the muffins
= 1 -
14 =
34 Fraction of Jenson's amount spent on the cakes
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Jenson had left = 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Amount that Jenson had left = Amount spent on 3 cakes
Cost of 3 cakes = $27
Cost of 1 cake = 27 ÷ 3 = $9
Cost of 1 cake is 5 times as much as the cost of 1 muffin.
Cost of 1 muffin
= 9 ÷ 5
= $1.80
(b)
Cost of 4 cakes and 5 muffins
= 4 x 9 + 5 x 1.80
= 36 + 9
= $45
Answer(s): (a) $1.80; (b) $45
