40% of Sabrina's amount was $1131 less than Japheth's amount. When Sabrina spent 45% of her amount and Japheth spent 60% of his amount, they had the same amount of amount left. Find the amount that Japheth had at first.
|
Sabrina |
Japheth |
Before |
40 u |
55 u |
Change |
- 18 u |
- 33 u |
After |
22 u |
22 u |
Percentage of Sabrina's amount left
= 100% - 45%
= 55%
Percentage of Japheth's amount left
= 100% - 60%
= 40%
55% =
55100 =
1120 40% =
40100 =
25 The amounts of amount that Sabrina and Japheth had left were the same. Make the numerators the same.
1120 of Sabrina's amount =
25 of Japheth's amount
2240 of Sabrina's amount =
2255 of Japheth's amount
Amount that Sabrina had = 40 u
40% of the amount that Sabrina had
= 40% x 40 u
=
40100 x 40 u
= 16 u
Difference between Japheth's amount and 40% of Sabrina's amount
= 55 u - 16 u
= 39 u
39 u = 1131
1 u = 1131 ÷ 39 = 29
Amount that Japheth had at first
= 55 u
= 55 x 29
= $1595
Answer(s): $1595