A pizza cost five times as much as a tart at a nearby coffee shop. Elijah spent 14 of his money on some tarts and half of the remaining sum on 3 pizzas. He had $21 left.
- What was the cost of 1 tart?
- Xavier bought 4 pizzas and 5 tarts. How much did he spend altogether?
(a)
Fraction of Elijah's amount left after buying the tarts
= 1 -
14 =
34 Fraction of Elijah's amount spent on the pizzas
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Elijah had left = 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Amount that Elijah had left = Amount spent on 3 pizzas
Cost of 3 pizzas = $21
Cost of 1 pizza = 21 ÷ 3 = $7
Cost of 1 pizza is 5 times as much as the cost of 1 tart.
Cost of 1 tart
= 7 ÷ 5
= $1.40
(b)
Cost of 4 pizzas and 5 tarts
= 4 x 7 + 5 x 1.40
= 28 + 7
= $35
Answer(s): (a) $1.40; (b) $35
