80% of Irene's amount was $172 more than Jenson's amount. When Irene spent 60% of her amount and Jenson spent 25% of his amount, they had the same amount of amount left. Find the amount that Jenson had at first.
|
80% of Irene's amount |
Irene's amount |
Jenson's amount |
Before |
12 u |
15 u |
8 u |
Change |
|
- 9 u (- 60%) |
- 2 u (- 25%) |
After |
|
6 u |
6 u |
Percentage of Irene's amount left
= 100% - 60%
= 40%
Percentage of Jenson's amount left
= 100% - 25%
= 75%
40% =
40100 =
25 75% =
75100 =
34 The amounts of amount that Irene and Jenson had left were the same.
Make the numerators the same.
25 of Irene's amount =
34 of Jenson's amount
615 of Irene's amount =
68 of Jenson's amount
Amount that Irene had = 15 u
80% of the amount that Irene had
= 15 u x 80%
= 15 u x
80100 = 12 u
Difference between 80% of Irene's amount and Jenson's amount
= 12 u - 8 u
= 4 u
4 u = 172
1 u = 172 ÷ 4 = 43
Amount that Jenson had at first
= 8 u
= 8 x 43
= $344
Answer(s): $344