Barbara's and Sarah's savings were in the ratio of 2 : 5. Both of them shared the cost of their auntie's souvenir equally. Barbara's remaining savings was
15 as much as Sarah's savings. What percentage of her savings did Barbara spend? Correct the answer to 1 decimal place.
|
Barbara |
Sarah |
Difference |
Before |
2x4 = 8 u |
5x4 = 20 u |
3x4 = 12 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Barbara and Sarah shared the cost of their auntie's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Barbara and Sarah at first and in the end remains the same. Make the difference in the amounts between Barbara and Sarah at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Barbara spent on the souvenir
= 8 u - 3 u
= 5 u
Percentage of her savings that Barbara spent
=
58 x 100%
≈ 62.5%
Answer(s): 62.5%