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