70% of Roshel's amount was $2576 more than Paul's amount. When Roshel spent 65% of her amount and Paul spent 10% of his amount, they had the same amount of amount left. Find the amount that Paul had at first.
|
70% of Roshel's amount |
Roshel's amount |
Paul's amount |
Before |
126 u |
180 u |
70 u |
Change |
|
- 117 u (- 65%) |
- 7 u (- 10%) |
After |
|
63 u |
63 u |
Percentage of Roshel's amount left
= 100% - 65%
= 35%
Percentage of Paul's amount left
= 100% - 10%
= 90%
35% =
35100 =
720 90% =
90100 =
910 The amounts of amount that Roshel and Paul had left were the same.
Make the numerators the same.
720 of Roshel's amount =
910 of Paul's amount
63180 of Roshel's amount =
6370 of Paul's amount
Amount that Roshel had = 180 u
70% of the amount that Roshel had
= 180 u x 70%
= 180 u x
70100 = 126 u
Difference between 70% of Roshel's amount and Paul's amount
= 126 u - 70 u
= 56 u
56 u = 2576
1 u = 2576 ÷ 56 = 46
Amount that Paul had at first
= 70 u
= 70 x 46
= $3220
Answer(s): $3220