Gem had $405 less than Gwen. Gwen gave
23 of her money to Gem. Gem then gave 20% of her money to Gwen. In the end, Gwen had $253 less than Gem. How much did Gem have at first?
| |
Gwen |
Gem |
| Comparing Gwen and Gem 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 Gwen received another $253 in the end, Gwen and Gem would have the same amount of money.
4 u + 216 = 2 u + 189 + 253
4 u - 2 u = 189 + 253 - 216
2 u = 226
1 u = 226 ÷ 2 = 113
Amount that Gem had at first
= 3 u
= 3 x 113
= $339
Answer(s): $339
