Gem had $500 more than Hilda. Gem gave
35 of her money to Hilda. Hilda then gave 25% of her money to Gem. In the end, Gem had $222 less than Hilda. How much did Gem have at first?
| |
Gem |
Hilda |
| Comparing Gem and Hilda at first |
500 more |
|
| Before |
5 u |
+ 500 |
5 u |
|
| Change 1 |
- 3 u |
- 300 |
+ 3 u |
+ 300 |
| After 1 |
2 u |
+ 200 |
8 u |
+ 300 |
| Change 2 |
+ 2 u |
+ 75 |
- 2 u |
- 75 |
| After 2 |
4 u |
+ 275 |
6 u |
+ 225 |
35 x 500= 300
500 - 300 = 200
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 300
=
25100 x 300
= 75
300 - 75 = 225
200 + 75 = 275
If Gem received another $222 in the end, Gem and Hilda would have the same amount of money.
6 u + 225 = 4 u + 275 + 222
6 u - 4 u = 275 + 222 - 225
2 u = 272
1 u = 272 ÷ 2 = 136
Amount that Gem had at first
= 5 u + 500
= 5 x 136 + 500
= 680 + 500
= $1180
Answer(s): $1180
