Xandra had $375 more than Emma. Xandra gave
23 of her money to Emma. Emma then gave 20% of her money to Xandra. In the end, Xandra had $209 less than Emma. How much did Xandra have at first?
| |
Xandra |
Emma |
| Comparing Xandra and Emma at first |
375 more |
|
| Before |
3 u |
+ 375 |
3 u |
|
| Change 1 |
- 2 u |
- 250 |
+ 2 u |
+ 250 |
| After 1 |
1 u |
+ 125 |
5 u |
+ 250 |
| Change 2 |
+ 1 u |
+ 50 |
- 1 u |
- 50 |
| After 2 |
2 u |
+ 175 |
4 u |
+ 200 |
23 x 375= 250
375 - 250 = 125
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 250
=
20100 x 250
= 50
250 - 50 = 200
125 + 50 = 175
If Xandra received another $209 in the end, Xandra and Emma would have the same amount of money.
4 u + 200 = 2 u + 175 + 209
4 u - 2 u = 175 + 209 - 200
2 u = 184
1 u = 184 ÷ 2 = 92
Amount that Xandra had at first
= 3 u + 375
= 3 x 92 + 375
= 276 + 375
= $651
Answer(s): $651
