40% of Emma's amount was $2205 less than George's amount. When Emma spent 35% of her amount and George spent 60% of his amount, they had the same amount of amount left. Find the amount that George had at first.
|
Emma |
George |
Before |
40 u |
65 u |
Change |
- 14 u |
- 39 u |
After |
26 u |
26 u |
Percentage of Emma's amount left
= 100% - 35%
= 65%
Percentage of George's amount left
= 100% - 60%
= 40%
65% =
65100 =
1320 40% =
40100 =
25 The amounts of amount that Emma and George had left were the same. Make the numerators the same.
1320 of Emma's amount =
25 of George's amount
2640 of Emma's amount =
2665 of George's amount
Amount that Emma had = 40 u
40% of the amount that Emma had
= 40% x 40 u
=
40100 x 40 u
= 16 u
Difference between George's amount and 40% of Emma's amount
= 65 u - 16 u
= 49 u
49 u = 2205
1 u = 2205 ÷ 49 = 45
Amount that George had at first
= 65 u
= 65 x 45
= $2925
Answer(s): $2925