Hazel's and Esther's savings were in the ratio of 4 : 9. Both of them shared the cost of their older brother's present equally. Hazel's remaining savings was
14 as much as Esther's savings. What percentage of her savings did Esther spend? Correct the answer to 1 decimal place.
|
Hazel |
Esther |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 7 u |
- 7 u |
|
After |
1x5 = 5 u |
4x5 = 20 u |
3x5 = 15 u |
Since Hazel and Esther shared the cost of their older brother's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Hazel and Esther at first and in the end remains the same. Make the difference in the amounts between Hazel and Esther at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Esther spent on the present
= 27 u - 20 u
= 7 u
Percentage of her savings that Esther spent
=
727 x 100%
≈ 25.9%
Answer(s): 25.9%