Question

Rationalize the numerator. 7

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+5
3
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−5
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7
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+5
3
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−5
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= (Simplify your answer. Type an exact answer, using radicals as needed.) A service station has 39 octane and 65 octane gasoline. How many liters of each gasoline should be mixed to provide 13 liters of 61 octane gasoline for a chemistry experiment? The amount of 39 octane gasoline needed is liters. The amount of 65 octane gasoline needed is liters.

Answer 1

The problem is about mixing two types of gasoline to achieve a certain octane level. This requires setting up and solving two equations: one for the total volume and one for the weighted average octane level.

Step-by-step explanation:

This problem is a simple application of the concept of weighted averages in mathematics. Essentially, you want to mix the two types of

gasoline

(39 octane and 65 octane) at the

station

to get 13 liters of 61 octane gasoline. Let 'x' be the amount of 39 octane gasoline and 'y' be the amount of 65 octane gasoline. The constraints for this problem are: