Nicole's and Jean's savings were in the ratio of 4 : 9. Both of them shared the cost of their auntie's gift equally. Nicole's remaining savings was
25 as much as Jean's savings. What percentage of her savings did Nicole spend? Correct the answer to 1 decimal place.
|
Nicole |
Jean |
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 Nicole and Jean shared the cost of their auntie's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Nicole and Jean at first and in the end remains the same. Make the difference in the amounts between Nicole and Jean at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Nicole spent on the gift
= 12 u - 10 u
= 2 u
Percentage of her savings that Nicole spent
=
212 x 100%
≈ 16.7%
Answer(s): 16.7%