Wendy's and Betty's savings were in the ratio of 4 : 9. Both of them shared the cost of their cousin's gift equally. Wendy's remaining savings was
14 as much as Betty's savings. What percentage of her savings did Wendy spend? Correct the answer to 1 decimal place.
|
Wendy |
Betty |
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 Wendy and Betty shared the cost of their cousin's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Wendy and Betty at first and in the end remains the same. Make the difference in the amounts between Wendy and Betty at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Wendy spent on the gift
= 12 u - 5 u
= 7 u
Percentage of her savings that Wendy spent
=
712 x 100%
≈ 58.3%
Answer(s): 58.3%