50% Orange Juice
Algebra
Level
2
How much (in gallons) of a 70% orange juice drink must be mixed with 44 gallons of 20% orange juice drink to obtain a mixture that is 50% orange juice ?
48
56
72
66
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20% have to go up 30% to reach 50% while 70% have to go down 20% to reach 50% as the intended concentration. So 70% have to work the 30% upwards efforts (50% - 20%) while 20% have to work the 20% downwards efforts (70% - 50%). 30% : 20% = 3 : 2 must be the ratio of volumes, so :
Answer = 3 × 44 / 2 = 66 gallons