Nicole's and Gillian's savings were in the ratio of 4 : 7. Both of them shared the cost of their younger sister's gift equally. Nicole's remaining savings was
15 as much as Gillian's savings. What percentage of her savings did Gillian spend? Correct the answer to 1 decimal place.
|
Nicole |
Gillian |
Difference |
Before |
4x4 = 16 u |
7x4 = 28 u |
3x4 = 12 u |
Change |
- 13 u |
- 13 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Nicole and Gillian shared the cost of their younger sister's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Nicole and Gillian at first and in the end remains the same. Make the difference in the amounts between Nicole and Gillian at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Gillian spent on the gift
= 28 u - 15 u
= 13 u
Percentage of her savings that Gillian spent
=
1328 x 100%
≈ 46.4%
Answer(s): 46.4%