Julian had $85 more than Gabby. After Julian spent 20% of his money and Gabby spent 70% of her money, they still had $222 left altogether.
- How much did Julian have left in the end?
- Express the amount of money Gabby had left as a fraction of the amount of money Julian had in the end. (Give your answer in the simplest form)
|
Julian |
Gabby |
Before |
10 u + 85 |
10 u |
Change |
- 2 u - 17 |
- 7 u |
After |
8 u + 68 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Julian and Gabby had in the end
= 8 u + 68 + 3 u
= 11 u + 68
11 u + 68 = 222
8 u + 3 u = 222 - 68
11 u = 154
1 u = 154 ÷ 11 = 14
Amount that Julian had in the end
= 8 u + 68
= 8 x 14 + 68
= 112 + 68
= $180
(b)
Amount that the Gabby had in the end
= 1 u
= $14
Fraction of the amount that Gabby had left as a fraction of the amount that Julian had in the end
=
14180=
790 Answer(s): (a) $180; (b)
790