Esther's and Cindy's savings were in the ratio of 2 : 7. Both of them shared the cost of their father's souvenir equally. Esther's remaining savings was
15 as much as Cindy's savings. What percentage of her savings did Cindy spend? Correct the answer to 1 decimal place.
|
Esther |
Cindy |
Difference |
Before |
2x4 = 8 u |
7x4 = 28 u |
5x4 = 20 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
5x5 = 25 u |
4x5 = 20 u |
Since Esther and Cindy shared the cost of their father's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Esther and Cindy at first and in the end remains the same. Make the difference in the amounts between Esther and Cindy at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Cindy spent on the souvenir
= 28 u - 25 u
= 3 u
Percentage of her savings that Cindy spent
=
328 x 100%
≈ 10.7%
Answer(s): 10.7%