Tank P and Tank Q had some vinegar in the ratio 7 : 4. After 34 litres of vinegar was transferred from Tank P to Tank Q, the volume of vinegar in Tank Q became 3 times as much as in Tank P. How much vinegar were there in the two tanks in all?
|
Tank P |
Tank Q |
Total |
Before |
7x4 = 28 u |
4x4 = 16 u |
11x4 = 44 u |
Change |
- 34 |
+ 34 |
|
After |
1x11 = 11 u |
3x11 = 33 u |
4x11 = 44 u |
The total volume of vinegar in the tanks remained unchanged. Make the total volume at first and in the end the same. LCM of 4 and 11 is 44.
Amount of vinegar transferred from Tank P to Tank Q
= 28 u - 11 u
= 17 u
17 u = 34
1 u = 34 ÷ 17 = 2
Total volume of vinegar in two tanks
= 44 u
= 44 x 2
= 88 ℓ
Answer(s): 88 ℓ