Olivia had $21 less than Rachel at first. After Rachel and Olivia spent an equal amount of money, Olivia had
47 as much as Rachel. How much money did Olivia have left?
| |
Olivia |
Rachel |
Difference |
| Before |
1 u |
1 u + $21 |
$21 |
| Change |
- 1 |
- 1 |
|
| After |
4 p |
7 p |
3 p |
Difference in the amounts between Rachel and Olivia
= 7 p - 4 p
= 3 p
Since both Rachel and Olivia spent an equal amount, the difference in the amounts that Rachel and Olivia had at first and in the end remains unchanged.
3 p = 21
1 p = 21 ÷ 3 = 7
Amount that Olivia had left
= 4 p
= 4 x 7
= $28
Answer(s): $28
