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