80% of Barbara's amount was $396 more than Bobby's amount. When Barbara spent 60% of her amount and Bobby spent 35% of his amount, they had the same amount of amount left. Find the amount that Bobby had at first.
|
80% of Barbara's amount |
Barbara's amount |
Bobby's amount |
Before |
52 u |
65 u |
40 u |
Change |
|
- 39 u (- 60%) |
- 14 u (- 35%) |
After |
|
26 u |
26 u |
Percentage of Barbara's amount left
= 100% - 60%
= 40%
Percentage of Bobby's amount left
= 100% - 35%
= 65%
40% =
40100 =
25 65% =
65100 =
1320 The amounts of amount that Barbara and Bobby had left were the same.
Make the numerators the same.
25 of Barbara's amount =
1320 of Bobby's amount
2665 of Barbara's amount =
2640 of Bobby's amount
Amount that Barbara had = 65 u
80% of the amount that Barbara had
= 65 u x 80%
= 65 u x
80100 = 52 u
Difference between 80% of Barbara's amount and Bobby's amount
= 52 u - 40 u
= 12 u
12 u = 396
1 u = 396 ÷ 12 = 33
Amount that Bobby had at first
= 40 u
= 40 x 33
= $1320
Answer(s): $1320