Question

7. BACKPACKING Guido and Raoul each went backpacking in Glacier

National Park. The expressions 4(d + 2) – 2d and 3(2 + d) represent the
respective distances Guido and Raoul hiked each day. On what day
number d will their distance hiking be the same?

Answer 1

the second day

Explanation:

4(d + 2) - 2d = 3(2 + d)

4d + 8 -2d = 6 + 3d

2d + 8 = 3d + 6

-6 -6

2d + 2 = 3d

-2d -2d

2 = d

to check your answer:

4(2 + 2) - 2(2) = 3(2 + 2)

4(4) - 4 = 3(4)

16 - 4 = 12

12 = 12