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