Rachel had $100 more than Kylie. Rachel gave
35 of her money to Kylie. Kylie then gave 25% of her money to Rachel. In the end, Rachel had $212 less than Kylie. How much did Rachel have at first?
| |
Rachel |
Kylie |
| Comparing Rachel and Kylie 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 Rachel received another $212 in the end, Rachel and Kylie would have the same amount of money.
6 u + 45 = 4 u + 55 + 212
6 u - 4 u = 55 + 212 - 45
2 u = 222
1 u = 222 ÷ 2 = 111
Amount that Rachel had at first
= 5 u + 100
= 5 x 111 + 100
= 555 + 100
= $655
Answer(s): $655
