Anna's and Vanessa's savings were in the ratio of 4 : 7. Both of them shared the cost of their auntie's souvenir equally. Anna's remaining savings was
15 as much as Vanessa's savings. What percentage of her savings did Anna spend? Correct the answer to 1 decimal place.
|
Anna |
Vanessa |
Difference |
Before |
4x4 = 16 u |
7x4 = 28 u |
3x4 = 12 u |
Change |
- 13 u |
- 13 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Anna and Vanessa 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 Anna and Vanessa at first and in the end remains the same. Make the difference in the amounts between Anna and Vanessa at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Anna spent on the souvenir
= 16 u - 3 u
= 13 u
Percentage of her savings that Anna spent
=
1316 x 100%
≈ 81.3%
Answer(s): 81.3%