A pizza cost five times as much as a cookie at a nearby food outlet. Paul spent 14 of his money on some cookies and half of the remaining sum on 3 pizzas. He had $6 left.
- What was the cost of 1 cookie?
- Ivan bought 4 pizzas and 5 cookies. How much did he spend altogether?
(a)
Fraction of Paul's amount left after buying the cookies
= 1 -
14 =
34 Fraction of Paul's amount spent on the pizzas
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Paul had left = 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Amount that Paul had left = Amount spent on 3 pizzas
Cost of 3 pizzas = $6
Cost of 1 pizza = 6 ÷ 3 = $2
Cost of 1 pizza is 5 times as much as the cost of 1 cookie.
Cost of 1 cookie
= 2 ÷ 5
= $0.40
(b)
Cost of 4 pizzas and 5 cookies
= 4 x 2 + 5 x 0.40
= 8 + 2
= $10
Answer(s): (a) $0.40; (b) $10