80% of Diana's amount was $572 more than Oliver's amount. When Diana spent 55% of her amount and Oliver spent 30% of his amount, they had the same amount of amount left. Find the amount that Oliver had at first.
|
80% of Diana's amount |
Diana's amount |
Oliver's amount |
Before |
112 u |
140 u |
90 u |
Change |
|
- 77 u (- 55%) |
- 27 u (- 30%) |
After |
|
63 u |
63 u |
Percentage of Diana's amount left
= 100% - 55%
= 45%
Percentage of Oliver's amount left
= 100% - 30%
= 70%
45% =
45100 =
920 70% =
70100 =
710 The amounts of amount that Diana and Oliver had left were the same.
Make the numerators the same.
920 of Diana's amount =
710 of Oliver's amount
63140 of Diana's amount =
6390 of Oliver's amount
Amount that Diana had = 140 u
80% of the amount that Diana had
= 140 u x 80%
= 140 u x
80100 = 112 u
Difference between 80% of Diana's amount and Oliver's amount
= 112 u - 90 u
= 22 u
22 u = 572
1 u = 572 ÷ 22 = 26
Amount that Oliver had at first
= 90 u
= 90 x 26
= $2340
Answer(s): $2340