Irene had $260 more than Zara. Irene gave
35 of her money to Zara. Zara then gave 25% of her money to Irene. In the end, Zara had $200 more than Irene. How much did Irene have at first?
| |
Irene |
Zara |
Comparing Irene
and Zara at first |
260 more |
|
| Before |
5 u |
+ 260 |
5 u |
|
| Change 1 |
- 3 u |
- 156 |
+ 3 u |
+ 156 |
| After 1 |
2 u |
+ 104 |
8 u |
+ 156 |
| Change 2 |
+ 2 u |
+ 39 |
- 2 u |
- 39 |
| After 2 |
4 u |
+ 143 |
6 u |
+ 117 |
35 x 260= 156
260 - 156 = 104
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 156
=
25100 x 156
= 39
156 - 39 = 117
104 + 39 = 143
If Irene received another $200 in the end, Irene and Zara would have the same amount of money.
6 u + 117 = 4 u + 143 + 200
6 u - 4 u = 143 + 200 - 117
2 u = 226
1 u = 226 ÷ 2 = 113
Amount that Irene had at first
= 5 u + 260
= 5 x 113 + 260
= 565 + 260
= $825
Answer(s): $825
