Tank Y and Tank Z had some detergent in the ratio 7 : 5. After 46 litres of detergent was transferred from Tank Y to Tank Z, the volume of detergent in Tank Z became 4 times as much as in Tank Y. How much detergent were there in the two tanks in all?
| |
Tank Y |
Tank Z |
Total |
Before |
7x5 =
35 u |
5x5 =
25 u |
12x5 =
60 u |
| Change |
- 46 |
+ 46 |
|
After |
1x12 =
12 u |
4x12 =
48 u |
5x12 =
60 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 5 and 12 is 60.
Amount of detergent transferred from Tank Y to Tank Z
= 35 u - 12 u
= 23 u
23 u = 46
1 u = 46 ÷ 23 = 2
Total volume of detergent in two tanks
= 60 u
= 60 x 2
= 120 ℓ
Answer(s): 120 ℓ
