Olivia had $18 more than Lucy at first. After Olivia and Lucy spent an equal amount of money, Lucy had
57 as much as Olivia. How much money did Olivia have left?
|
Olivia |
Lucy |
Difference |
Before |
1 u + $18 |
1 u |
$18 |
Change |
- 1 |
- 1 |
|
After |
7 p |
5 p |
2 p |
Difference in the amounts between Olivia and Lucy
= 7 p - 5 p
= 2 p
Since both Olivia and Lucy spent an equal amount, the difference in the amounts that Olivia and Lucy had at first and in the end remains unchanged.
2 p = 18
1 p = 18 ÷ 2 = 9
Amount that Olivia had left
= 7 p
= 7 x 9
= $63
Answer(s): $63