SOLUTION: How much of a(n) 70 % orange juice drink must be mixed with 14 gallons of a 30 % orange juice drink to obtain a mixture that is 50 % orange juice?

Question 1065127: How much of a(n) 70 % orange juice drink must be mixed with 14 gallons of a 30 % orange juice drink to obtain a mixture that is 50 % orange juice?
Found 2 solutions by Alan3354, math_helper:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
50% is the average --> equal amounts
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

We need to add X gallons of 70% drink.
So the amount of juice in the final mixture (14+X)(0.5) must match the amount of juice we started with (0.3*14), plus the amount of 70% to be added (0.7*X):
Therefore (14+X)(0.5) = (0.3)(14) + (0.7)X
14+X = (0.3)(28) + (1.4)X (multiplied by 2)
14+X = 8.4 + 1.4X
5.6 = 0.4X
X = 5.6/0.4 = 14
--
Ans: Adding gal of 70% drink will bring the original 14 gal 30% drink up to 50%
�
Check: (14+14)(0.5) = 14 and
(14)(0.3) + (14)(0.7) = 4.2 + 9.8 = 14 (ok)
RELATED QUESTIONS
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 4 gallons of a 30% orange juice... (answered by mananth)
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) 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)
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 60% orange juice drink must be mixed with 9 gallons of a 30% orange juice... (answered by josgarithmetic)
Can you help me solve this problem/ How much of a 60% orange juice drink must be mixed... (answered by josgarithmetic,greenestamps)
how much of an 80% orange juice drink must be mized with 20 gallons of a 20% orange juice (answered by mananth)