Irene had $450 more than Zoe. Irene gave
23 of her money to Zoe. Zoe then gave 20% of her money to Irene. In the end, Zoe had $114 more than Irene. How much did Irene have at first?
| |
Irene |
Zoe |
Comparing Irene
and Zoe at first |
450 more |
|
| Before |
3 u |
+ 450 |
3 u |
|
| Change 1 |
- 2 u |
- 300 |
+ 2 u |
+ 300 |
| After 1 |
1 u |
+ 150 |
5 u |
+ 300 |
| Change 2 |
+ 1 u |
+ 60 |
- 1 u |
- 60 |
| After 2 |
2 u |
+ 210 |
4 u |
+ 240 |
23 x 450= 300
450 - 300 = 150
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 300
=
20100 x 300
= 60
300 - 60 = 240
150 + 60 = 210
If Irene received another $114 in the end, Irene and Zoe would have the same amount of money.
4 u + 240 = 2 u + 210 + 114
4 u - 2 u = 210 + 114 - 240
2 u = 84
1 u = 84 ÷ 2 = 42
Amount that Irene had at first
= 3 u + 450
= 3 x 42 + 450
= 126 + 450
= $576
Answer(s): $576
