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