Diana's and Barbara's savings were in the ratio of 2 : 5. Both of them shared the cost of their grandmother's gift equally. Diana's remaining savings was
15 as much as Barbara's savings. What percentage of her savings did Diana spend? Correct the answer to 1 decimal place.
|
Diana |
Barbara |
Difference |
Before |
2x4 = 8 u |
5x4 = 20 u |
3x4 = 12 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Diana and Barbara shared the cost of their grandmother's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Diana and Barbara at first and in the end remains the same. Make the difference in the amounts between Diana and Barbara at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Diana spent on the gift
= 8 u - 3 u
= 5 u
Percentage of her savings that Diana spent
=
58 x 100%
≈ 62.5%
Answer(s): 62.5%