70% of Fanny's amount was $364 more than Japheth's amount. When Fanny spent 65% of her amount and Japheth spent 25% of his amount, they had the same amount of amount left. Find the amount that Japheth had at first.
|
70% of Fanny's amount |
Fanny's amount |
Japheth's amount |
Before |
42 u |
60 u |
28 u |
Change |
|
- 39 u (- 65%) |
- 7 u (- 25%) |
After |
|
21 u |
21 u |
Percentage of Fanny's amount left
= 100% - 65%
= 35%
Percentage of Japheth's amount left
= 100% - 25%
= 75%
35% =
35100 =
720 75% =
75100 =
34 The amounts of amount that Fanny and Japheth had left were the same.
Make the numerators the same.
720 of Fanny's amount =
34 of Japheth's amount
2160 of Fanny's amount =
2128 of Japheth's amount
Amount that Fanny had = 60 u
70% of the amount that Fanny had
= 60 u x 70%
= 60 u x
70100 = 42 u
Difference between 70% of Fanny's amount and Japheth's amount
= 42 u - 28 u
= 14 u
14 u = 364
1 u = 364 ÷ 14 = 26
Amount that Japheth had at first
= 28 u
= 28 x 26
= $728
Answer(s): $728