Vanessa's and Nora's savings were in the ratio of 4 : 9. Both of them shared the cost of their auntie's souvenir equally. Vanessa's remaining savings was
25 as much as Nora's savings. What percentage of her savings did Vanessa spend? Correct the answer to 1 decimal place.
|
Vanessa |
Nora |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 2 u |
- 2 u |
|
After |
2x5 = 10 u |
5x5 = 25 u |
3x5 = 15 u |
Since Vanessa and Nora shared the cost of their auntie's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Vanessa and Nora at first and in the end remains the same. Make the difference in the amounts between Vanessa and Nora at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Vanessa spent on the souvenir
= 12 u - 10 u
= 2 u
Percentage of her savings that Vanessa spent
=
212 x 100%
≈ 16.7%
Answer(s): 16.7%