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The octane rating of a gasoline is a measure of the amount of isooctane in the gas. Manufacturers recommend using 93-octane gasoline on returned motors. How much 87-octane gas and 95-octane gas should Yousef mix in order to make 10 gallons of 93-octane gas for his returned Ford F-150?
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1 Answer

a + b = 10 ------> a = 10 - b
87a + 95b = 93(10)
 
87(10 - b) + 95b = 930
870 - 87b + 95b = 930
8b = 60
b = 7.5
 
a = 10 - 7.5 = 2.5
 
Hope this helps!