Zara's and Wendy's savings were in the ratio of 4 : 9. Both of them shared the cost of their father's souvenir equally. Zara's remaining savings was
15 as much as Wendy's savings. What percentage of her savings did Zara spend? Correct the answer to 1 decimal place.
|
Zara |
Wendy |
Difference |
Before |
4x4 = 16 u |
9x4 = 36 u |
5x4 = 20 u |
Change |
- 11 u |
- 11 u |
|
After |
1x5 = 5 u |
5x5 = 25 u |
4x5 = 20 u |
Since Zara and Wendy shared the cost of their father's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Zara and Wendy at first and in the end remains the same. Make the difference in the amounts between Zara and Wendy at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Zara spent on the souvenir
= 16 u - 5 u
= 11 u
Percentage of her savings that Zara spent
=
1116 x 100%
≈ 68.8%
Answer(s): 68.8%