70% of Marion's amount was $506 more than Vaidev's amount. When Marion spent 60% of her amount and Vaidev spent 10% of his amount, they had the same amount of amount left. Find the amount that Vaidev had at first.
|
70% of Marion's amount |
Marion's amount |
Vaidev's amount |
Before |
31.5 u |
45 u |
20 u |
Change |
|
- 27 u (- 60%) |
- 2 u (- 10%) |
After |
|
18 u |
18 u |
Percentage of Marion's amount left
= 100% - 60%
= 40%
Percentage of Vaidev's amount left
= 100% - 10%
= 90%
40% =
40100 =
25 90% =
90100 =
910 The amounts of amount that Marion and Vaidev had left were the same.
Make the numerators the same.
25 of Marion's amount =
910 of Vaidev's amount
1845 of Marion's amount =
1820 of Vaidev's amount
Amount that Marion had = 45 u
70% of the amount that Marion had
= 45 u x 70%
= 45 u x
70100 = 31.5 u
Difference between 70% of Marion's amount and Vaidev's amount
= 31.5 u - 20 u
= 11.5 u
11.5 u = 506
1 u = 506 ÷ 11.5 = 44
Amount that Vaidev had at first
= 20 u
= 20 x 44
= $880
Answer(s): $880