Pamela's and Gem's savings were in the ratio of 4 : 9. Both of them shared the cost of their auntie's souvenir equally. Pamela's remaining savings was
25 as much as Gem's savings. What percentage of her savings did Pamela spend? Correct the answer to 1 decimal place.
|
Pamela |
Gem |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 2 u |
- 2 u |
|
After |
2x5 = 10 u |
5x5 = 25 u |
3x5 = 15 u |
Since Pamela and Gem 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 Pamela and Gem at first and in the end remains the same. Make the difference in the amounts between Pamela and Gem at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Pamela spent on the souvenir
= 12 u - 10 u
= 2 u
Percentage of her savings that Pamela spent
=
212 x 100%
≈ 16.7%
Answer(s): 16.7%