Roshel's and Irene's savings were in the ratio of 4 : 9. Both of them shared the cost of their grandmother's present equally. Roshel's remaining savings was
25 as much as Irene's savings. What percentage of her savings did Irene spend? Correct the answer to 1 decimal place.
|
Roshel |
Irene |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 2 u |
- 2 u |
|
After |
2x5 = 10 u |
5x5 = 25 u |
3x5 = 15 u |
Since Roshel and Irene shared the cost of their grandmother's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Roshel and Irene at first and in the end remains the same. Make the difference in the amounts between Roshel and Irene at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Irene spent on the present
= 27 u - 25 u
= 2 u
Percentage of her savings that Irene spent
=
227 x 100%
≈ 7.4%
Answer(s): 7.4%