Nicole's and Penelope's savings were in the ratio of 4 : 9. Both of them shared the cost of their father's gift equally. Nicole's remaining savings was
14 as much as Penelope's savings. What percentage of her savings did Penelope spend? Correct the answer to 1 decimal place.
|
Nicole |
Penelope |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 7 u |
- 7 u |
|
After |
1x5 = 5 u |
4x5 = 20 u |
3x5 = 15 u |
Since Nicole and Penelope shared the cost of their father's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Nicole and Penelope at first and in the end remains the same. Make the difference in the amounts between Nicole and Penelope at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Penelope spent on the gift
= 27 u - 20 u
= 7 u
Percentage of her savings that Penelope spent
=
727 x 100%
≈ 25.9%
Answer(s): 25.9%