Vanessa had $160 less than Gem. Gem gave
35 of her money to Vanessa. Vanessa then gave 25% of her money to Gem. In the end, Vanessa had $202 more than Gem. How much did Vanessa have at first?
| |
Gem |
Vanessa |
| Comparing Gem and Vanessa at first |
160 more |
|
| Before |
5 u |
+ 160 |
5 u |
|
| Change 1 |
- 3 u |
- 96 |
+ 3 u |
+ 96 |
| After 1 |
2 u |
+ 64 |
8 u |
+ 96 |
| Change 2 |
+ 2 u |
+ 24 |
- 2 u |
- 24 |
| After 2 |
4 u |
+ 88 |
6 u |
+ 72 |
35 x 160= 96
160 - 96 = 64
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 96
=
25100 x 96
= 24
96 - 24 = 72
64 + 24 = 88
If Gem received another $202 in the end, Gem and Vanessa would have the same amount of money.
6 u + 72 = 4 u + 88 + 202
6 u - 4 u = 88 + 202 - 72
2 u = 218
1 u = 218 ÷ 2 = 109
Amount that Vanessa had at first
= 5 u
= 5 x 109
= $545
Answer(s): $545
