Fred had $75 more than Xandra. After Fred spent 20% of his money and Xandra spent 70% of her money, they still had $302 left altogether.
- How much did Fred have left in the end?
- Express the amount of money Xandra had left as a fraction of the amount of money Fred had in the end. (Give your answer in the simplest form)
| |
Fred |
Xandra |
| Before |
10 u + 75 |
10 u |
| Change |
- 2 u - 15 |
- 7 u |
| After |
8 u + 60 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Fred and Xandra had in the end
= 8 u + 60 + 3 u
= 11 u + 60
11 u + 60 = 302
8 u + 3 u = 302 - 60
11 u = 242
1 u = 242 ÷ 11 = 22
Amount that Fred had in the end
= 8 u + 60
= 8 x 22 + 60
= 176 + 60
= $236
(b)
Amount that the Xandra had in the end
= 1 u
= $22
Fraction of the amount that Xandra had left as a fraction of the amount that Fred had in the end
=
22236=
11118 Answer(s): (a) $236; (b)
11118 
