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