SOLUTION: Can you help me solve this problem/ How much of a 60% orange juice drink must be mixed with 14 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice

Question 1153682: Can you help me solve this problem/
How much of a 60% orange juice drink must be mixed with 14 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice
The amount of 60% orange juice drink is ____ gallons
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
---------------------------------------------------------------
How much of a 60% orange juice drink must be mixed with 14 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice?
--------------------------------------------------------------

v gallons of 60%

----------solve for v.
-

Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

If a formal algebraic solution is not required, here is a method that will get you to the answer to this and many similar problems with very little effort.

Think of the problem as starting with 20% juice and adding 60% juice, stopping when the mixture is 50% juice.

50% is 3/4 of the way from 20% to 60%. (20 to 60 is 40; 20 to 50 is 30; 30/40 = 3/4.)

That means 3/4 of the mixture must be the 60% juice you are adding.

So the original 14 gallons of 20% juice is 1/4 of the mixture; that means the 3/4 of the mixture that is the added 60% juice is 3*14 = 42 gallons.

RELATED QUESTIONS
how much of a 60% orange juice drink must be mixed with 4 gallons of a 30% orange juice... (answered by mananth)
How much of a 60% orange juice drink must be mixed with 9 gallons of a 40% orange... (answered by ikleyn,Edwin McCravy)
How much of a(n) 90% orange juice drink must be mixed with 16 gallons of a 30% orange... (answered by richwmiller)
How much of a(n) 70 % orange juice drink must be mixed with 14 gallons of a 30 % orange... (answered by Alan3354,math_helper)
How much of a(n) 70 % orange juice drink must be mixed with 14 gallons of a 30 % orange... (answered by josgarithmetic)
how much of a 60% orange juice drink must be mixed with 9 gallons of a 30% orange juice... (answered by josgarithmetic)
how much of a(n) 90% orange juice drink must be mixed with 12 gallons of a 20% orange... (answered by richwmiller)
how much of a (n) 90% orange juice drink must be mixed with 16 gallons of a 30% orange... (answered by mananth)
How much of a(n) 90% orange juice drink must be mixed with 16 gallons of 30% orange juice (answered by stanbon)