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