Elyse had $165 more than Usha. Elyse gave
23 of her money to Usha. Usha then gave 20% of her money to Elyse. In the end, Usha had $273 more than Elyse. How much did Elyse have at first?
| |
Elyse |
Usha |
Comparing Elyse
and Usha at first |
165 more |
|
| Before |
3 u |
+ 165 |
3 u |
|
| Change 1 |
- 2 u |
- 110 |
+ 2 u |
+ 110 |
| After 1 |
1 u |
+ 55 |
5 u |
+ 110 |
| Change 2 |
+ 1 u |
+ 22 |
- 1 u |
- 22 |
| After 2 |
2 u |
+ 77 |
4 u |
+ 88 |
23 x 165= 110
165 - 110 = 55
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 110
=
20100 x 110
= 22
110 - 22 = 88
55 + 22 = 77
If Elyse received another $273 in the end, Elyse and Usha would have the same amount of money.
4 u + 88 = 2 u + 77 + 273
4 u - 2 u = 77 + 273 - 88
2 u = 262
1 u = 262 ÷ 2 = 131
Amount that Elyse had at first
= 3 u + 165
= 3 x 131 + 165
= 393 + 165
= $558
Answer(s): $558
