Ivory's and Jen's savings were in the ratio of 4 : 9. Both of them shared the cost of their older brother's souvenir equally. Ivory's remaining savings was
13 as much as Jen's savings. What percentage of her savings did Jen spend? Correct the answer to 1 decimal place.
|
Ivory |
Jen |
Difference |
Before |
4x2 = 8 u |
9x2 = 18 u |
5x2 = 10 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
3x5 = 15 u |
2x5 = 10 u |
Since Ivory and Jen shared the cost of their older brother's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Ivory and Jen at first and in the end remains the same. Make the difference in the amounts between Ivory and Jen at first and in the end the same. LCM of 5 and 2 is 10.
Amount that Jen spent on the souvenir
= 18 u - 15 u
= 3 u
Percentage of her savings that Jen spent
=
318 x 100%
≈ 16.7%
Answer(s): 16.7%