One canned juice drink is 20% orange juice; another is 10% orange juice. How many liters of each should be mixed together in order to get 10L that is 16% orange juice?

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Answer 1 · 2018-07-24T15:05:20

The volume of #10%# is #=6L# and the volume of #10%# is #=4L#

Perform a material balance wrt orange juice

The total volume is #=10L#

Let the volume of #20%# orange juice be #=vL#

Then,

The volume of #10%# orange juice is #=(10-v)L#

The final percentage is #=16%# orange juice

Therefore,

#20/100*v+10/100*(10-v)=10*16/100#

#20v+100-10v=160#

#10v=60#

#v=6L#