A car can travel 135 miles with 5 gallons of gasoline. At this rate, how much gallons of gasoline the car needs to travel 675 miles?

25 gallons

Step-by-step explanation:

Given

135 miles to 5 gallons

Required

Determine the number of gallons for 675 miles

From the question, number of miles is directly proportional to number of gallons:

So, we have:

and

Where x represents the number of gallons for 675 miles

Cross Multiply:

Make x the subject

Hence, the car needs 25 gallons

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.