30% of Betty's amount was $1378 less than Fred's amount. When Betty spent 35% of her amount and Fred spent 60% of his amount, they had the same amount of amount left. Find the amount that Fred had at first.
|
Betty |
Fred |
Before |
40 u |
65 u |
Change |
- 14 u |
- 39 u |
After |
26 u |
26 u |
Percentage of Betty's amount left
= 100% - 35%
= 65%
Percentage of Fred's amount left
= 100% - 60%
= 40%
65% =
65100 =
1320 40% =
40100 =
25 The amounts of amount that Betty and Fred had left were the same. Make the numerators the same.
1320 of Betty's amount =
25 of Fred's amount
2640 of Betty's amount =
2665 of Fred's amount
Amount that Betty had = 40 u
30% of the amount that Betty had
= 30% x 40 u
=
30100 x 40 u
= 12 u
Difference between Fred's amount and 30% of Betty's amount
= 65 u - 12 u
= 53 u
53 u = 1378
1 u = 1378 ÷ 53 = 26
Amount that Fred had at first
= 65 u
= 65 x 26
= $1690
Answer(s): $1690