Question

Hideki found the solution for the equation below to be r = 66. 6(5 + r) = 96 What mistake did Hideki make in solving the equation? What is the correct solution?

A. He did not distribute 6 to r; r = 11.
B. He did not divide both sides by 6; r = 16.
C. He did not multiply both sides by 6; r = 571.
D. He did not subtract 5 from both sides; r = 15.

Answer 1

6(5 + r) = 96
30 + 6r = 96
6r = 96 - 30
6r = 66
r = 66/6
r = 11

A. He did not distribute 6 to r ; r = 11

Answer 2

Multiplying out 6(5+r) = 96 and solving for r:  30 + 6r = 96

Then 6r = 66, and r = 11.

Answer A is correct.