Rachel had $22 more than Sarah at first. After Rachel and Sarah spent an equal amount of money, Sarah had
35 as much as Rachel. How much money did Rachel have left?
| |
Rachel |
Sarah |
Difference |
| Before |
1 u + $22 |
1 u |
$22 |
| Change |
- 1 |
- 1 |
|
| After |
5 p |
3 p |
2 p |
Difference in the amounts between Rachel and Sarah
= 5 p - 3 p
= 2 p
Since both Rachel and Sarah spent an equal amount, the difference in the amounts that Rachel and Sarah had at first and in the end remains unchanged.
2 p = 22
1 p = 22 ÷ 2 = 11
Amount that Rachel had left
= 5 p
= 5 x 11
= $55
Answer(s): $55
