Gem had $460 less than Tammy. Tammy gave
35 of her money to Gem. Gem then gave 25% of her money to Tammy. In the end, Gem had $120 more than Tammy. How much did Gem have at first?
| |
Tammy |
Gem |
| Comparing Tammy and Gem at first |
460 more |
|
| Before |
5 u |
+ 460 |
5 u |
|
| Change 1 |
- 3 u |
- 276 |
+ 3 u |
+ 276 |
| After 1 |
2 u |
+ 184 |
8 u |
+ 276 |
| Change 2 |
+ 2 u |
+ 69 |
- 2 u |
- 69 |
| After 2 |
4 u |
+ 253 |
6 u |
+ 207 |
35 x 460= 276
460 - 276 = 184
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 276
=
25100 x 276
= 69
276 - 69 = 207
184 + 69 = 253
If Tammy received another $120 in the end, Tammy and Gem would have the same amount of money.
6 u + 207 = 4 u + 253 + 120
6 u - 4 u = 253 + 120 - 207
2 u = 166
1 u = 166 ÷ 2 = 83
Amount that Gem had at first
= 5 u
= 5 x 83
= $415
Answer(s): $415
