Pail J and Pail K had some oil in the ratio 7 : 5. After 25 litres of oil was transferred from Pail J to Pail K, the volume of oil in Pail K became 5 times as much as in Pail J. How much oil were there in the two pails in all?
| |
Pail J |
Pail K |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
12x1 =
12 u |
| Change |
- 25 |
+ 25 |
|
After |
1x2 =
2 u |
5x2 =
10 u |
6x2 =
12 u |
The total volume of oil in the pails remained unchanged. Make the total volume at first and in the end the same. LCM of 6 and 12 is 12.
Amount of oil transferred from Pail J to Pail K
= 7 u - 2 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
Total volume of oil in two pails
= 12 u
= 12 x 5
= 60 ℓ
Answer(s): 60 ℓ
