Hazel's and Opal's savings were in the ratio of 2 : 7. Both of them shared the cost of their cousin's souvenir equally. Hazel's remaining savings was
15 as much as Opal's savings. What percentage of her savings did Opal spend? Correct the answer to 1 decimal place.
|
Hazel |
Opal |
Difference |
Before |
2x4 = 8 u |
7x4 = 28 u |
5x4 = 20 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
5x5 = 25 u |
4x5 = 20 u |
Since Hazel and Opal shared the cost of their cousin's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Hazel and Opal at first and in the end remains the same. Make the difference in the amounts between Hazel and Opal at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Opal spent on the souvenir
= 28 u - 25 u
= 3 u
Percentage of her savings that Opal spent
=
328 x 100%
≈ 10.7%
Answer(s): 10.7%