Ivory's and Shannon's savings were in the ratio of 2 : 7. Both of them shared the cost of their older sister's souvenir equally. Ivory's remaining savings was
15 as much as Shannon's savings. What percentage of her savings did Ivory spend? Correct the answer to 1 decimal place.
|
Ivory |
Shannon |
Difference |
Before |
2x4 = 8 u |
7x4 = 28 u |
5x4 = 20 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
5x5 = 25 u |
4x5 = 20 u |
Since Ivory and Shannon shared the cost of their older sister's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Ivory and Shannon at first and in the end remains the same. Make the difference in the amounts between Ivory and Shannon at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Ivory spent on the souvenir
= 8 u - 5 u
= 3 u
Percentage of her savings that Ivory spent
=
38 x 100%
≈ 37.5%
Answer(s): 37.5%