Question

Juan is on his way home in his car. He has driven 12 miles so far, which is three-fourths of the way home. What is the total length of his drive?

Answer 1

To find the total length of Juan's drive home, a proportion is used where 3/4 of the distance equals 12 miles, therefore, the full distance equates to 16 miles.

Step-by-step explanation:

The question asks us to determine the total length of Juan's drive home if 12 miles represents three-fourths (3/4) of the total distance. To solve this problem, we can set up a ratio. If 3/4 of the distance is 12 miles, then the full distance (1 whole, or 4/4) is represented by 'x' miles.

Using a simple proportion, we have:

3/4 = 12 miles
1 (or 4/4) = x miles

Now, to find the value of 'x', we can set up the equation:

(3/4) * x = 12 miles

x = 12 miles / (3/4)

x = 12 miles * (4/3)

x = 16 miles

So, the total length of Juan's drive home is 16 miles.