Container S and Container T had some maple syrup in the ratio 9 : 4. After 32 litres of maple syrup was transferred from Container S to Container T, the volume of maple syrup in Container T became 4 times as much as in Container S. How much maple syrup were there in the two containers in all?
| |
Container S |
Container T |
Total |
Before |
9x5 =
45 u |
4x5 =
20 u |
13x5 =
65 u |
| Change |
- 32 |
+ 32 |
|
After |
1x13 =
13 u |
4x13 =
52 u |
5x13 =
65 u |
The total volume of maple syrup in the containers remained unchanged. Make the total volume at first and in the end the same. LCM of 5 and 13 is 65.
Amount of maple syrup transferred from Container S to Container T
= 45 u - 13 u
= 32 u
32 u = 32
1 u = 32 ÷ 32 = 1
Total volume of maple syrup in two containers
= 65 u
= 65 x 1
= 65 ℓ
Answer(s): 65 ℓ
