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