# math

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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?

• math -

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

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