Cathy's and Jade's savings were in the ratio of 4 : 9. Both of them shared the cost of their younger sister's gift equally. Cathy's remaining savings was
13 as much as Jade's savings. What percentage of her savings did Jade spend? Correct the answer to 1 decimal place.
|
Cathy |
Jade |
Difference |
Before |
4x2 = 8 u |
9x2 = 18 u |
5x2 = 10 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
3x5 = 15 u |
2x5 = 10 u |
Since Cathy and Jade shared the cost of their younger sister's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Cathy and Jade at first and in the end remains the same. Make the difference in the amounts between Cathy and Jade at first and in the end the same. LCM of 5 and 2 is 10.
Amount that Jade spent on the gift
= 18 u - 15 u
= 3 u
Percentage of her savings that Jade spent
=
318 x 100%
≈ 16.7%
Answer(s): 16.7%