Tank X and Tank Y had some detergent in the ratio 7 : 5. After 24 litres of detergent was transferred from Tank X to Tank Y, the volume of detergent in Tank Y became 3 times as much as in Tank X. How much detergent were there in the two tanks in all?
| |
Tank X |
Tank Y |
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 detergent 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 detergent transferred from Tank X to Tank Y
= 7 u - 3 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Total volume of detergent in two tanks
= 12 u
= 12 x 6
= 72 ℓ
Answer(s): 72 ℓ
