A cake cost four times as much as a cookie at a nearby canteen. Carl spent 16 of his money on some cookies and half of the remaining sum on 5 cakes. He had $30 left.
- What was the cost of 1 cookie?
- Ben bought 3 cakes and 4 cookies. How much did he spend altogether?
(a)
Fraction of Carl's amount left after buying the cookies
= 1 -
16 =
56 Fraction of Carl's amount spent on the cakes
=
56 x
12 =
512 Fraction of money left
= 1 -
16 -
512 = 1 -
212 -
512 =
512 Amount that Carl had left = 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Amount that Carl had left = Amount spent on 5 cakes
Cost of 5 cakes = $30
Cost of 1 cake = 30 ÷ 5 = $6
Cost of 1 cake is 4 times as much as the cost of 1 cookie.
Cost of 1 cookie
= 6 ÷ 4
= $1.50
(b)
Cost of 3 cakes and 4 cookies
= 3 x 6 + 4 x 1.50
= 18 + 6
= $24
Answer(s): (a) $1.50; (b) $24
