Wendy's and Linda's savings were in the ratio of 4 : 7. Both of them shared the cost of their younger brother's souvenir equally. Wendy's remaining savings was
13 as much as Linda's savings. What percentage of her savings did Wendy spend? Correct the answer to 1 decimal place.
|
Wendy |
Linda |
Difference |
Before |
4x2 = 8 u |
7x2 = 14 u |
3x2 = 6 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
3x3 = 9 u |
2x3 = 6 u |
Since Wendy and Linda shared the cost of their younger brother's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Wendy and Linda at first and in the end remains the same. Make the difference in the amounts between Wendy and Linda at first and in the end the same. LCM of 3 and 2 is 6.
Amount that Wendy spent on the souvenir
= 8 u - 3 u
= 5 u
Percentage of her savings that Wendy spent
=
58 x 100%
≈ 62.5%
Answer(s): 62.5%