A fuel mixture contains 24% MTBE (octane rating 116) and has an octane rating of 87. What is the octane rating of the fuel without MTBE?

Question

Quizplus · Accepted Answer

Let the octane rating of the fuel without MTBE be x.
Therefore, the weighted average of the octane rating would be:
0.24(116) + 0.76(x) = 87
27.84 + 0.76x = 87
0.76x = 59.16
x = 77.74
Therefore, the octane rating of the fuel without MTBE would be approximately 78. Hence, the answer is D.

A Fuel Mixture Contains 24% MTBE (Octane Rating 116) and Has