80% of Barbara's amount was $1360 more than Julian's amount. When Barbara spent 65% of her amount and Julian spent 35% of his amount, they had the same amount of amount left. Find the amount that Julian had at first.
|
80% of Barbara's amount |
Barbara's amount |
Julian's amount |
Before |
208 u |
260 u |
140 u |
Change |
|
- 169 u (- 65%) |
- 49 u (- 35%) |
After |
|
91 u |
91 u |
Percentage of Barbara's amount left
= 100% - 65%
= 35%
Percentage of Julian's amount left
= 100% - 35%
= 65%
35% =
35100 =
720 65% =
65100 =
1320 The amounts of amount that Barbara and Julian had left were the same.
Make the numerators the same.
720 of Barbara's amount =
1320 of Julian's amount
91260 of Barbara's amount =
91140 of Julian's amount
Amount that Barbara had = 260 u
80% of the amount that Barbara had
= 260 u x 80%
= 260 u x
80100 = 208 u
Difference between 80% of Barbara's amount and Julian's amount
= 208 u - 140 u
= 68 u
68 u = 1360
1 u = 1360 ÷ 68 = 20
Amount that Julian had at first
= 140 u
= 140 x 20
= $2800
Answer(s): $2800