Tank P and Tank Q had some detergent in the ratio 9 : 5. After 44 litres of detergent was transferred from Tank P to Tank Q, the volume of detergent in Tank Q became 3 times as much as in Tank P. How much detergent were there in the two tanks in all?
|
Tank P |
Tank Q |
Total |
Before |
9x2 = 18 u |
5x2 = 10 u |
14x2 = 28 u |
Change |
- 44 |
+ 44 |
|
After |
1x7 = 7 u |
3x7 = 21 u |
4x7 = 28 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 14 is 28.
Amount of detergent transferred from Tank P to Tank Q
= 18 u - 7 u
= 11 u
11 u = 44
1 u = 44 ÷ 11 = 4
Total volume of detergent in two tanks
= 28 u
= 28 x 4
= 112 ℓ
Answer(s): 112 ℓ