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