a container is filled with 56 litres of pineapple juice. 8 litres of pineapple juice are extracted and the container is refilled with mango juice. the content of the container is thoroughly mixed and 8 litres of the mixture are extracted and the container is again refilled with mango juice. what is the ratio of mango juice to pineapple juice in the final mixture?
mj:pj (mango juice : pineapple juice) L=liters
8:56-8 (as 8L of pj taken out and 8L of mj added )
8:48 = 1:6 (1 part of mj 6 part of pj)
when 8L taken out of the new mixture this 8L will contain
mj:pj = 8*(1/7):8*(6/7)= 8/7:48/7
so 8L of this taken out from original 8-8/7:48-48/7
then 8L of mj added so 8-8/7+8:48-48/7 =104:288= 13:36
Thx, This helped a LOT!
Let's break down the steps one by one to find the ratio of mango juice to pineapple juice in the final mixture.
Step 1:
The container starts with 56 litres of pineapple juice.
Step 2:
8 litres of pineapple juice are extracted, leaving 56 - 8 = 48 litres of pineapple juice in the container.
Step 3:
The container is then refilled with mango juice. Assuming the amount of mango juice added equals the amount of pineapple juice extracted earlier, the container now contains 48 litres of mango juice.
Step 4:
The contents of the container are thoroughly mixed.
Step 5:
8 litres of the mixture are extracted, leaving 48 - 8 = 40 litres of the mixture in the container.
Step 6:
The container is refilled with mango juice. As before, assuming the amount of mango juice added equals the amount of mixture extracted earlier, the container now contains 40 litres of mango juice.
Therefore, the ratio of mango juice to pineapple juice in the final mixture is 40:0, or simply 40.
To find the ratio of mango juice to pineapple juice in the final mixture, we need to calculate the amounts of each juice present.
Initially, the container is filled with 56 liters of pineapple juice. Then, 8 liters of pineapple juice are extracted. This means that after extraction, there are 56 - 8 = 48 liters of pineapple juice left in the container.
Next, the container is refilled with mango juice. So now, there are 48 liters of pineapple juice mixed with mango juice.
Then, 8 liters of the mixture are extracted, leaving 48 - 8 = 40 liters of the mixture in the container.
Finally, the container is refilled with mango juice. So now, there are 40 liters of the mixture mixed with mango juice.
The ratio of mango juice to pineapple juice in the final mixture can be calculated by dividing the amount of mango juice by the amount of pineapple juice.
The amount of mango juice is obtained by subtracting the remaining pineapple juice from the total volume of the mixture:
Amount of mango juice = Total volume of mixture - Remaining pineapple juice
Amount of mango juice = 40 - 48 = -8 liters (Note: The negative value indicates there is no mango juice left in the final mixture.)
The amount of pineapple juice in the final mixture is 48 liters.
Therefore, the ratio of mango juice to pineapple juice in the final mixture is 0:48, or simply 0.
In conclusion, there is no mango juice present in the final mixture, so the ratio of mango juice to pineapple juice is 0:48.