Yesterday, Jack drove 40 1/2 miles. he used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallons

From the information we have, Jack drove 401/2 miles and used a total of 1 1/4 gallons of gasoline.

We need to find out how many miles he travelled per each gallon.

40 1/2 miles can be written as 40.5 miles

1 1/4 gallons can be written as 1.25 gallons.

So now we form an equation.

40.5 = 1.25

x = 1

Where x is the number of miles per gallon

We cross multiply the equation

40.5 * 1 = 1.25 * x

40.5 = 1.25x

40.5 / 1.25 = x

32.4 = x

x = 32.4

So the unit rate for miles per gallons is 32.4 miles per gallon