Valen had $45 more than Emily. After Valen spent 20% of his money and Emily spent 70% of her money, they still had $212 left altogether.
- How much did Valen have left in the end?
- Express the amount of money Emily had left as a fraction of the amount of money Valen had in the end. (Give your answer in the simplest form)
| |
Valen |
Emily |
| Before |
10 u + 45 |
10 u |
| Change |
- 2 u - 9 |
- 7 u |
| After |
8 u + 36 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Valen and Emily had in the end
= 8 u + 36 + 3 u
= 11 u + 36
11 u + 36 = 212
8 u + 3 u = 212 - 36
11 u = 176
1 u = 176 ÷ 11 = 16
Amount that Valen had in the end
= 8 u + 36
= 8 x 16 + 36
= 128 + 36
= $164
(b)
Amount that the Emily had in the end
= 1 u
= $16
Fraction of the amount that Emily had left as a fraction of the amount that Valen had in the end
=
16164=
441 Answer(s): (a) $164; (b)
441 
