Irene's and Barbara's savings were in the ratio of 4 : 7. Both of them shared the cost of their older brother's present equally. Irene's remaining savings was
13 as much as Barbara's savings. What percentage of her savings did Irene spend? Correct the answer to 1 decimal place.
|
Irene |
Barbara |
Difference |
Before |
4x2 = 8 u |
7x2 = 14 u |
3x2 = 6 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
3x3 = 9 u |
2x3 = 6 u |
Since Irene and Barbara shared the cost of their older brother's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Irene and Barbara at first and in the end remains the same. Make the difference in the amounts between Irene and Barbara at first and in the end the same. LCM of 3 and 2 is 6.
Amount that Irene spent on the present
= 8 u - 3 u
= 5 u
Percentage of her savings that Irene spent
=
58 x 100%
≈ 62.5%
Answer(s): 62.5%