Rachel had $100 less than Zoe. Zoe gave
35 of her money to Rachel. Rachel then gave 25% of her money to Zoe. In the end, Zoe had $178 less than Rachel. How much did Rachel have at first?
| |
Zoe |
Rachel |
| Comparing Zoe and Rachel at first |
100 more |
|
| Before |
5 u |
+ 100 |
5 u |
|
| Change 1 |
- 3 u |
- 60 |
+ 3 u |
+ 60 |
| After 1 |
2 u |
+ 40 |
8 u |
+ 60 |
| Change 2 |
+ 2 u |
+ 15 |
- 2 u |
- 15 |
| After 2 |
4 u |
+ 55 |
6 u |
+ 45 |
35 x 100= 60
100 - 60 = 40
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 60
=
25100 x 60
= 15
60 - 15 = 45
40 + 15 = 55
If Zoe received another $178 in the end, Zoe and Rachel would have the same amount of money.
6 u + 45 = 4 u + 55 + 178
6 u - 4 u = 55 + 178 - 45
2 u = 188
1 u = 188 ÷ 2 = 94
Amount that Rachel had at first
= 5 u
= 5 x 94
= $470
Answer(s): $470
