70% of Erika's amount was $567 more than Paul's amount. When Erika spent 65% of her amount and Paul spent 20% of his amount, they had the same amount of amount left. Find the amount that Paul had at first.
|
70% of Erika's amount |
Erika's amount |
Paul's amount |
Before |
56 u |
80 u |
35 u |
Change |
|
- 52 u (- 65%) |
- 7 u (- 20%) |
After |
|
28 u |
28 u |
Percentage of Erika's amount left
= 100% - 65%
= 35%
Percentage of Paul's amount left
= 100% - 20%
= 80%
35% =
35100 =
720 80% =
80100 =
45 The amounts of amount that Erika and Paul had left were the same.
Make the numerators the same.
720 of Erika's amount =
45 of Paul's amount
2880 of Erika's amount =
2835 of Paul's amount
Amount that Erika had = 80 u
70% of the amount that Erika had
= 80 u x 70%
= 80 u x
70100 = 56 u
Difference between 70% of Erika's amount and Paul's amount
= 56 u - 35 u
= 21 u
21 u = 567
1 u = 567 ÷ 21 = 27
Amount that Paul had at first
= 35 u
= 35 x 27
= $945
Answer(s): $945