Question

Steve and Tammy leave a campground, hiking on two different trails. Steve

heads south and Tammy heads east. By lunchtime they are 9 mi apart. Steve
walked 3 mi more than twice as many miles as Tammy. Find the distance each
person hiked. (Round to the nearest tenth of a mile.)

Answer 1

Steve walked 7 miles and Tammy walked 2 miles.

Explanation:

Okie dokie, so we know that there is a total of 9 miles between them.

Now, let's call the miles walked by Tammy, m.

We also know that Steve walked 2 times the amount Tammy walked plus another 3 miles, so we can label his as, 2m + 3.

Now, let's put that all together into an equation:

9 = 2m + 3 + m

The first thing we have to do is isolate the variable, so we subtract 3 from both sides:

6 = 2m + m

Now we combine the like variables:

6 = 3m

Now in order to determine the variable, we divide by 3 on both sides:

M = 2

So we now know that Tammy walked 2 miles, but we're not done yet.

Because Steve walked 2x as much, we multiply 2 by 2 to get 4 miles.

Finally, we have to add the 3 extra miles, so we get a total of 7 miles.

Hope this helps! :)