Raeann's and Irene's savings were in the ratio of 4 : 7. Both of them shared the cost of their father's present equally. Raeann's remaining savings was
15 as much as Irene's savings. What percentage of her savings did Irene spend? Correct the answer to 1 decimal place.
|
Raeann |
Irene |
Difference |
Before |
4x4 = 16 u |
7x4 = 28 u |
3x4 = 12 u |
Change |
- 13 u |
- 13 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Raeann and Irene shared the cost of their father's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Raeann and Irene at first and in the end remains the same. Make the difference in the amounts between Raeann and Irene at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Irene spent on the present
= 28 u - 15 u
= 13 u
Percentage of her savings that Irene spent
=
1328 x 100%
≈ 46.4%
Answer(s): 46.4%