Tank D and Tank E had some syrup in the ratio 7 : 5. After 24 litres of syrup was transferred from Tank D to Tank E, the volume of syrup in Tank E became 3 times as much as in Tank D. How much syrup were there in the two tanks in all?
| |
Tank D |
Tank E |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
12x1 =
12 u |
| Change |
- 24 |
+ 24 |
|
After |
1x3 =
3 u |
3x3 =
9 u |
4x3 =
12 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 4 and 12 is 12.
Amount of syrup transferred from Tank D to Tank E
= 7 u - 3 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Total volume of syrup in two tanks
= 12 u
= 12 x 6
= 72 ℓ
Answer(s): 72 ℓ
