Tank D and Tank E had some maple syrup in the ratio 9 : 4. After 46 litres of maple syrup was transferred from Tank D to Tank E, the volume of maple syrup in Tank E became 3 times as much as in Tank D. How much maple syrup were there in the two tanks in all?
| |
Tank D |
Tank E |
Total |
Before |
9x4 =
36 u |
4x4 =
16 u |
13x4 =
52 u |
| Change |
- 46 |
+ 46 |
|
After |
1x13 =
13 u |
3x13 =
39 u |
4x13 =
52 u |
The total volume of maple syrup in the tanks remained unchanged. Make the total volume at first and in the end the same. LCM of 4 and 13 is 52.
Amount of maple syrup transferred from Tank D to Tank E
= 36 u - 13 u
= 23 u
23 u = 46
1 u = 46 ÷ 23 = 2
Total volume of maple syrup in two tanks
= 52 u
= 52 x 2
= 104 ℓ
Answer(s): 104 ℓ
