Gem's and Marion's savings were in the ratio of 4 : 9. Both of them shared the cost of their grandfather's gift equally. Gem's remaining savings was
25 as much as Marion's savings. What percentage of her savings did Marion spend? Correct the answer to 1 decimal place.
|
Gem |
Marion |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 2 u |
- 2 u |
|
After |
2x5 = 10 u |
5x5 = 25 u |
3x5 = 15 u |
Since Gem and Marion shared the cost of their grandfather's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Gem and Marion at first and in the end remains the same. Make the difference in the amounts between Gem and Marion at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Marion spent on the gift
= 27 u - 25 u
= 2 u
Percentage of her savings that Marion spent
=
227 x 100%
≈ 7.4%
Answer(s): 7.4%