A gallon of gasoline costs $2.96. Your car has a 25-gallon gas tank and can travel 28.8 miles on each gallon of gasoline. You take a trip of length 705 3/5 miles. How much money do you spend on gasoline?

Respuesta :

Answer:

$70.56

Step-by-step explanation:

Lets convert the mixed number (trip length) to decimal.

We know 3/5 (by long division) is 0.6, so 705  3/5th = 705.60 miles

Now, let's come to the problem:

1 gallon = 28.8 miles (mileage)

or

$2.96 = 28.8 miles

To find cost per mile, we divide:

[tex]\frac{2.96}{28.8}=0.10[/tex]

That means, it costs $0.10 per mile

Since we want to travel 705.60 miles, we multiply to find the cost:

$0.10 per mile * 705.60 miles = $70.56