Question

Detective Z says he built 392 feet of fence. He added 8 and then 12 more feet. Steady removed 86 feet of the fence. Detective Z says that in total, the fence is 320 feet long. Is he correct?

• A. Yes, Detective Z is correct.
• B. No, the fence is 322 feet long.
• C. No, the fence is 326 feet long.
• D. No, the fence is 316 feet long.

Answer 1

The correct option is C No, the fence is 326 feet long.

Length of the fence Detective Z built $=392\text{feet}$
Lengths added $=8$ and 12 feet $=8+12=20\text{feet}$
Total length $=392+20=412\text{feet}$
Length removed by Steady $=86\text{feet}$
Present length of the fence $=(412-86)\text{feet}$
Using the mental math ability of compensation, we can solve the problem.Therefore, Detective Z is incorrect and the length of the fence is 326 feet.