Pail V and Pail W had some maple syrup in the ratio 7 : 5. After 30 litres of maple syrup was transferred from Pail V to Pail W, the volume of maple syrup in Pail W became 5 times as much as in Pail V. How much maple syrup were there in the two pails in all?
| |
Pail V |
Pail W |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
12x1 =
12 u |
| Change |
- 30 |
+ 30 |
|
After |
1x2 =
2 u |
5x2 =
10 u |
6x2 =
12 u |
The total volume of maple syrup in the pails remained unchanged. Make the total volume at first and in the end the same. LCM of 6 and 12 is 12.
Amount of maple syrup transferred from Pail V to Pail W
= 7 u - 2 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Total volume of maple syrup in two pails
= 12 u
= 12 x 6
= 72 ℓ
Answer(s): 72 ℓ
