Gem had $180 more than Erika. Gem gave
35 of her money to Erika. Erika then gave 25% of her money to Gem. In the end, Gem had $182 less than Erika. How much did Gem have at first?
| |
Gem |
Erika |
| Comparing Gem and Erika at first |
180 more |
|
| Before |
5 u |
+ 180 |
5 u |
|
| Change 1 |
- 3 u |
- 108 |
+ 3 u |
+ 108 |
| After 1 |
2 u |
+ 72 |
8 u |
+ 108 |
| Change 2 |
+ 2 u |
+ 27 |
- 2 u |
- 27 |
| After 2 |
4 u |
+ 99 |
6 u |
+ 81 |
35 x 180= 108
180 - 108 = 72
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 108
=
25100 x 108
= 27
108 - 27 = 81
72 + 27 = 99
If Gem received another $182 in the end, Gem and Erika would have the same amount of money.
6 u + 81 = 4 u + 99 + 182
6 u - 4 u = 99 + 182 - 81
2 u = 200
1 u = 200 ÷ 2 = 100
Amount that Gem had at first
= 5 u + 180
= 5 x 100 + 180
= 500 + 180
= $680
Answer(s): $680
