Tank J and Tank K had some syrup in the ratio 7 : 4. After 31 litres of syrup was transferred from Tank J to Tank K, the volume of syrup in Tank K became 5 times as much as in Tank J. How much syrup were there in the two tanks in all?
| |
Tank J |
Tank K |
Total |
Before |
7x6 =
42 u |
4x6 =
24 u |
11x6 =
66 u |
| Change |
- 31 |
+ 31 |
|
After |
1x11 =
11 u |
5x11 =
55 u |
6x11 =
66 u |
The total volume of syrup in the tanks remained unchanged. Make the total volume at first and in the end the same. LCM of 6 and 11 is 66.
Amount of syrup transferred from Tank J to Tank K
= 42 u - 11 u
= 31 u
31 u = 31
1 u = 31 ÷ 31 = 1
Total volume of syrup in two tanks
= 66 u
= 66 x 1
= 66 ℓ
Answer(s): 66 ℓ
