Linda had $180 less than Zara. Zara gave
35 of her money to Linda. Linda then gave 25% of her money to Zara. In the end, Zara had $122 less than Linda. How much did Linda have at first?
| |
Zara |
Linda |
| Comparing Zara and Linda at first |
180 more |
|
| Before |
5 u |
+ 180 |
5 u |
|
| Change 1 |
- 3 u |
- 108 |
+ 3 u |
+ 108 |
| After 1 |
2 u |
+ 72 |
8 u |
+ 108 |
| Change 2 |
+ 2 u |
+ 27 |
- 2 u |
- 27 |
| After 2 |
4 u |
+ 99 |
6 u |
+ 81 |
35 x 180= 108
180 - 108 = 72
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 108
=
25100 x 108
= 27
108 - 27 = 81
72 + 27 = 99
If Zara received another $122 in the end, Zara and Linda would have the same amount of money.
6 u + 81 = 4 u + 99 + 122
6 u - 4 u = 99 + 122 - 81
2 u = 140
1 u = 140 ÷ 2 = 70
Amount that Linda had at first
= 5 u
= 5 x 70
= $350
Answer(s): $350
