Question

On a three-day hike, Matthew hiked twice as many miles on the first day as on the second day. On the third day he hiked 5 miles. Carlos hiked 5 miles on the first day and three times as many miles on the second day as on the third day.

Write and simplify an expression for the total number of miles Matthew hiked.

Answer 1

Answer: 3x + 5

Explanation:

x is representative of the miles we don't know, on days 1 and 2.

He hiked x miles on the second day, and on the first day, he hiked twice as many miles as the second day (2x).

2x (day 1) + x (day 2) + 5 (day 3)

That simplifies to 3x+5

Answer 2

Day One- 2d (d being Day Two)
Day Two- d
Day Three- 5 miles

So the expression would be:

5 + 2d + d

Now, we add together the like terms.

5 + 3d

Hope this helps!