Jade's and Emily's savings were in the ratio of 4 : 9. Both of them shared the cost of their older sister's souvenir equally. Jade's remaining savings was
15 as much as Emily's savings. What percentage of her savings did Emily spend? Correct the answer to 1 decimal place.
|
Jade |
Emily |
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 Jade and Emily shared the cost of their older sister's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Jade and Emily at first and in the end remains the same. Make the difference in the amounts between Jade and Emily at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Emily spent on the souvenir
= 36 u - 25 u
= 11 u
Percentage of her savings that Emily spent
=
1136 x 100%
≈ 30.6%
Answer(s): 30.6%