Yoko's and Dana's savings were in the ratio of 4 : 7. Both of them shared the cost of their older sister's present equally. Yoko's remaining savings was
13 as much as Dana's savings. What percentage of her savings did Dana spend? Correct the answer to 1 decimal place.
|
Yoko |
Dana |
Difference |
Before |
4x2 = 8 u |
7x2 = 14 u |
3x2 = 6 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
3x3 = 9 u |
2x3 = 6 u |
Since Yoko and Dana shared the cost of their older sister's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Yoko and Dana at first and in the end remains the same. Make the difference in the amounts between Yoko and Dana at first and in the end the same. LCM of 3 and 2 is 6.
Amount that Dana spent on the present
= 14 u - 9 u
= 5 u
Percentage of her savings that Dana spent
=
514 x 100%
≈ 35.7%
Answer(s): 35.7%