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