Gem had $405 more than Abi. Gem gave
23 of her money to Abi. Abi then gave 20% of her money to Gem. In the end, Gem had $289 less than Abi. How much did Gem have at first?
| |
Gem |
Abi |
| Comparing Gem and Abi at first |
405 more |
|
| Before |
3 u |
+ 405 |
3 u |
|
| Change 1 |
- 2 u |
- 270 |
+ 2 u |
+ 270 |
| After 1 |
1 u |
+ 135 |
5 u |
+ 270 |
| Change 2 |
+ 1 u |
+ 54 |
- 1 u |
- 54 |
| After 2 |
2 u |
+ 189 |
4 u |
+ 216 |
23 x 405= 270
405 - 270 = 135
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 270
=
20100 x 270
= 54
270 - 54 = 216
135 + 54 = 189
If Gem received another $289 in the end, Gem and Abi would have the same amount of money.
4 u + 216 = 2 u + 189 + 289
4 u - 2 u = 189 + 289 - 216
2 u = 262
1 u = 262 ÷ 2 = 131
Amount that Gem had at first
= 3 u + 405
= 3 x 131 + 405
= 393 + 405
= $798
Answer(s): $798
