Pail Q and Pail R had some maple syrup in the ratio 7 : 4. After 34 litres of maple syrup was transferred from Pail Q to Pail R, the volume of maple syrup in Pail R became 3 times as much as in Pail Q. How much maple syrup were there in the two pails in all?
| |
Pail Q |
Pail R |
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 maple syrup in the pails remained unchanged. Make the total volume at first and in the end the same. LCM of 4 and 11 is 44.
Amount of maple syrup transferred from Pail Q to Pail R
= 28 u - 11 u
= 17 u
17 u = 34
1 u = 34 ÷ 17 = 2
Total volume of maple syrup in two pails
= 44 u
= 44 x 2
= 88 ℓ
Answer(s): 88 ℓ
