40% of Erika's amount was $3604 less than Fred's amount. When Erika spent 35% of her amount and Fred spent 70% of his amount, they had the same amount of amount left. Find the amount that Fred had at first.
|
Erika |
Fred |
Before |
60 u |
130 u |
Change |
- 21 u |
- 91 u |
After |
39 u |
39 u |
Percentage of Erika's amount left
= 100% - 35%
= 65%
Percentage of Fred's amount left
= 100% - 70%
= 30%
65% =
65100 =
1320 30% =
30100 =
310 The amounts of amount that Erika and Fred had left were the same. Make the numerators the same.
1320 of Erika's amount =
310 of Fred's amount
3960 of Erika's amount =
39130 of Fred's amount
Amount that Erika had = 60 u
40% of the amount that Erika had
= 40% x 60 u
=
40100 x 60 u
= 24 u
Difference between Fred's amount and 40% of Erika's amount
= 130 u - 24 u
= 106 u
106 u = 3604
1 u = 3604 ÷ 106 = 34
Amount that Fred had at first
= 130 u
= 130 x 34
= $4420
Answer(s): $4420