90% of Fanny's amount was $1188 more than Seth's amount. When Fanny spent 55% of her amount and Seth spent 35% of his amount, they had the same amount of amount left. Find the amount that Seth had at first.
|
90% of Fanny's amount |
Fanny's amount |
Seth's amount |
Before |
234 u |
260 u |
180 u |
Change |
|
- 143 u (- 55%) |
- 63 u (- 35%) |
After |
|
117 u |
117 u |
Percentage of Fanny's amount left
= 100% - 55%
= 45%
Percentage of Seth's amount left
= 100% - 35%
= 65%
45% =
45100 =
920 65% =
65100 =
1320 The amounts of amount that Fanny and Seth had left were the same.
Make the numerators the same.
920 of Fanny's amount =
1320 of Seth's amount
117260 of Fanny's amount =
117180 of Seth's amount
Amount that Fanny had = 260 u
90% of the amount that Fanny had
= 260 u x 90%
= 260 u x
90100 = 234 u
Difference between 90% of Fanny's amount and Seth's amount
= 234 u - 180 u
= 54 u
54 u = 1188
1 u = 1188 ÷ 54 = 22
Amount that Seth had at first
= 180 u
= 180 x 22
= $3960
Answer(s): $3960