Question

Molly walked four more miles than Tim. Together, they walked ten miles. How many miles did each walk? The replacement set is {1, 2, 3, 4}.

a. Define the variable, and write expressions for the number of miles each person walked.



b. Write an equation that represents the problem.



c. Solve the equation. (Be sure to try every element in the replacement set and to show all of your work.)







d. Answer the question. (Remember, answers to word problems have units.)

Answer 1

A) Variable = x ( miles Tim walked )

B)  Tim walked X miles, Molly walked 4+x miles ( 4 more than Tim)

 Equation:  x + x+4 = 10

C) x +x+4 = 10

2x+4 = 10

2x =6

x = 3

D)

 Tim walked 3 miles, Molly walked 7 miles