Sarah had $380 more than Raeann. Sarah gave
35 of her money to Raeann. Raeann then gave 25% of her money to Sarah. In the end, Raeann had $106 more than Sarah. How much did Sarah have at first?
| |
Sarah |
Raeann |
Comparing Sarah
and Raeann at first |
380 more |
|
| Before |
5 u |
+ 380 |
5 u |
|
| Change 1 |
- 3 u |
- 228 |
+ 3 u |
+ 228 |
| After 1 |
2 u |
+ 152 |
8 u |
+ 228 |
| Change 2 |
+ 2 u |
+ 57 |
- 2 u |
- 57 |
| After 2 |
4 u |
+ 209 |
6 u |
+ 171 |
35 x 380= 228
380 - 228 = 152
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 228
=
25100 x 228
= 57
228 - 57 = 171
152 + 57 = 209
If Sarah received another $106 in the end, Sarah and Raeann would have the same amount of money.
6 u + 171 = 4 u + 209 + 106
6 u - 4 u = 209 + 106 - 171
2 u = 144
1 u = 144 ÷ 2 = 72
Amount that Sarah had at first
= 5 u + 380
= 5 x 72 + 380
= 360 + 380
= $740
Answer(s): $740
