Yoko's and Jane's savings were in the ratio of 2 : 5. Both of them shared the cost of their mother's gift equally. Yoko's remaining savings was
15 as much as Jane's savings. What percentage of her savings did Yoko spend? Correct the answer to 1 decimal place.
|
Yoko |
Jane |
Difference |
Before |
2x4 = 8 u |
5x4 = 20 u |
3x4 = 12 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Yoko and Jane shared the cost of their mother's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Yoko and Jane at first and in the end remains the same. Make the difference in the amounts between Yoko and Jane at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Yoko spent on the gift
= 8 u - 3 u
= 5 u
Percentage of her savings that Yoko spent
=
58 x 100%
≈ 62.5%
Answer(s): 62.5%