90% of Victoria's amount was $2322 more than Ben's amount. When Victoria spent 55% of her amount and Ben spent 35% of his amount, they had the same amount of amount left. Find the amount that Ben had at first.
|
90% of Victoria's amount |
Victoria's amount |
Ben's amount |
Before |
234 u |
260 u |
180 u |
Change |
|
- 143 u (- 55%) |
- 63 u (- 35%) |
After |
|
117 u |
117 u |
Percentage of Victoria's amount left
= 100% - 55%
= 45%
Percentage of Ben's amount left
= 100% - 35%
= 65%
45% =
45100 =
920 65% =
65100 =
1320 The amounts of amount that Victoria and Ben had left were the same.
Make the numerators the same.
920 of Victoria's amount =
1320 of Ben's amount
117260 of Victoria's amount =
117180 of Ben's amount
Amount that Victoria had = 260 u
90% of the amount that Victoria had
= 260 u x 90%
= 260 u x
90100 = 234 u
Difference between 90% of Victoria's amount and Ben's amount
= 234 u - 180 u
= 54 u
54 u = 2322
1 u = 2322 ÷ 54 = 43
Amount that Ben had at first
= 180 u
= 180 x 43
= $7740
Answer(s): $7740