A beverage manufacturer is mixing up a 30% tomato juice blend. The manufacturer already has 740 liters of a blend that contains 36% juice, to which some 26% juice will be added.
How much should be added to obtain the 30% tomato juice that is desired?
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
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1110 liters

Step-by-step explanation:

Let x = amount of 26% juice.

Amount of tomato juice:

740 liters of 36% juice contains 0.36(740) = 266.4 liters of tomato juice

x liters of 26% juice contains 0.26x liters of tomato juice

The result will be x + 740 liters of the juice blend at a concentration of 30%. It contains 0.3(x + 740) liters of tomato juice.

266.4 + 0.26x = 0.3(x + 740)

266.4 + 0.26x = 0.3x + 222

-0.04x = -44.4

x = 1110

1110 liters

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step-by-step explanation:

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