Jade's and Nicole's savings were in the ratio of 4 : 7. Both of them shared the cost of their cousin's souvenir equally. Jade's remaining savings was
15 as much as Nicole's savings. What percentage of her savings did Jade spend? Correct the answer to 1 decimal place.
|
Jade |
Nicole |
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 Jade and Nicole shared the cost of their cousin's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Jade and Nicole at first and in the end remains the same. Make the difference in the amounts between Jade and Nicole at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Jade spent on the souvenir
= 16 u - 3 u
= 13 u
Percentage of her savings that Jade spent
=
1316 x 100%
≈ 81.3%
Answer(s): 81.3%