Question

The octane rating of gasoline is the percentage of isooctane in the fuel. For example, 89-octane gasoline contains 89% of isooctane. How many liters of 88-octane gasoline should be mixed with 100 liters of 95-octane gasoline to get a mixture which is 93-octane gasoline ?

Answer 1

40 liters of 88-octane gasoline should be mixed

Explanation:

Here in this question, we are interested in calculating the number of liters of 88-octane gasoline that should be mixed with 100 liters of 95-octane gasoline to get a mixture of 93-octane gasoline.

Since we do not know the number of liters, we can represent it by x

This means that the total number of liters of the 93-octane gasoline we are looking at producing is (100 + x) liters.

Thus, if we multiply the number of liters of each gasoline type by their isooctane content and add together, we will obtain the product;

Hence;

88(x) + 100(95) = 93(100 + x)

88x + 9500 = 9300 + 93x

93x -88x = 9500-9300

5x = 200

x = 200/50

x = 40 liters