Betty had $160 less than Irene. Irene gave
35 of her money to Betty. Betty then gave 25% of her money to Irene. In the end, Betty had $130 more than Irene. How much did Betty have at first?
| |
Irene |
Betty |
| Comparing Irene and Betty at first |
160 more |
|
| Before |
5 u |
+ 160 |
5 u |
|
| Change 1 |
- 3 u |
- 96 |
+ 3 u |
+ 96 |
| After 1 |
2 u |
+ 64 |
8 u |
+ 96 |
| Change 2 |
+ 2 u |
+ 24 |
- 2 u |
- 24 |
| After 2 |
4 u |
+ 88 |
6 u |
+ 72 |
35 x 160= 96
160 - 96 = 64
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 96
=
25100 x 96
= 24
96 - 24 = 72
64 + 24 = 88
If Irene received another $130 in the end, Irene and Betty would have the same amount of money.
6 u + 72 = 4 u + 88 + 130
6 u - 4 u = 88 + 130 - 72
2 u = 146
1 u = 146 ÷ 2 = 73
Amount that Betty had at first
= 5 u
= 5 x 73
= $365
Answer(s): $365
