To create 10 gallons of 93-octane gas by mixing 87-octane and 95-octane fuels, you can use the formula for weighted averages. Let ( x ) be the gallons of 87-octane and ( y ) be the gallons of 95-octane. You need ( x + y = 10 ) and ( \frac{87x + 95y}{10} = 93 ). Solving these equations gives you ( x = 5 ) gallons of 87-octane and ( y = 5 ) gallons of 95-octane.
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