Tammy's and Winnie's savings were in the ratio of 4 : 9. Both of them shared the cost of their grandfather's souvenir equally. Tammy's remaining savings was
13 as much as Winnie's savings. What percentage of her savings did Tammy spend? Correct the answer to 1 decimal place.
|
Tammy |
Winnie |
Difference |
Before |
4x2 = 8 u |
9x2 = 18 u |
5x2 = 10 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
3x5 = 15 u |
2x5 = 10 u |
Since Tammy and Winnie shared the cost of their grandfather's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Tammy and Winnie at first and in the end remains the same. Make the difference in the amounts between Tammy and Winnie at first and in the end the same. LCM of 5 and 2 is 10.
Amount that Tammy spent on the souvenir
= 8 u - 5 u
= 3 u
Percentage of her savings that Tammy spent
=
38 x 100%
≈ 37.5%
Answer(s): 37.5%