80% of Sarah's amount was $2856 more than Warren's amount. When Sarah spent 65% of her amount and Warren spent 35% of his amount, they had the same amount of amount left. Find the amount that Warren had at first.
|
80% of Sarah's amount |
Sarah's amount |
Warren's amount |
Before |
208 u |
260 u |
140 u |
Change |
|
- 169 u (- 65%) |
- 49 u (- 35%) |
After |
|
91 u |
91 u |
Percentage of Sarah's amount left
= 100% - 65%
= 35%
Percentage of Warren's amount left
= 100% - 35%
= 65%
35% =
35100 =
720 65% =
65100 =
1320 The amounts of amount that Sarah and Warren had left were the same.
Make the numerators the same.
720 of Sarah's amount =
1320 of Warren's amount
91260 of Sarah's amount =
91140 of Warren's amount
Amount that Sarah had = 260 u
80% of the amount that Sarah had
= 260 u x 80%
= 260 u x
80100 = 208 u
Difference between 80% of Sarah's amount and Warren's amount
= 208 u - 140 u
= 68 u
68 u = 2856
1 u = 2856 ÷ 68 = 42
Amount that Warren had at first
= 140 u
= 140 x 42
= $5880
Answer(s): $5880