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