70% of Roshel's amount was $80 more than Will's amount. When Roshel spent 55% of her amount and Will spent 35% of his amount, they had the same amount of amount left. Find the amount that Will had at first.
|
70% of Roshel's amount |
Roshel's amount |
Will's amount |
Before |
182 u |
260 u |
180 u |
Change |
|
- 143 u (- 55%) |
- 63 u (- 35%) |
After |
|
117 u |
117 u |
Percentage of Roshel's amount left
= 100% - 55%
= 45%
Percentage of Will's amount left
= 100% - 35%
= 65%
45% =
45100 =
920 65% =
65100 =
1320 The amounts of amount that Roshel and Will had left were the same.
Make the numerators the same.
920 of Roshel's amount =
1320 of Will's amount
117260 of Roshel's amount =
117180 of Will's amount
Amount that Roshel had = 260 u
70% of the amount that Roshel had
= 260 u x 70%
= 260 u x
70100 = 182 u
Difference between 70% of Roshel's amount and Will's amount
= 182 u - 180 u
= 2 u
2 u = 80
1 u = 80 ÷ 2 = 40
Amount that Will had at first
= 180 u
= 180 x 40
= $7200
Answer(s): $7200