Usha had $210 more than Hazel. Usha gave
23 of her money to Hazel. Hazel then gave 20% of her money to Usha. In the end, Usha had $264 less than Hazel. How much did Usha have at first?
| |
Usha |
Hazel |
| Comparing Usha and Hazel at first |
210 more |
|
| Before |
3 u |
+ 210 |
3 u |
|
| Change 1 |
- 2 u |
- 140 |
+ 2 u |
+ 140 |
| After 1 |
1 u |
+ 70 |
5 u |
+ 140 |
| Change 2 |
+ 1 u |
+ 28 |
- 1 u |
- 28 |
| After 2 |
2 u |
+ 98 |
4 u |
+ 112 |
23 x 210= 140
210 - 140 = 70
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 140
=
20100 x 140
= 28
140 - 28 = 112
70 + 28 = 98
If Usha received another $264 in the end, Usha and Hazel would have the same amount of money.
4 u + 112 = 2 u + 98 + 264
4 u - 2 u = 98 + 264 - 112
2 u = 250
1 u = 250 ÷ 2 = 125
Amount that Usha had at first
= 3 u + 210
= 3 x 125 + 210
= 375 + 210
= $585
Answer(s): $585
