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