Question

An office has as many four-legged chairs and as many fourlegged tables as workers, and as many three-legged stools as four-legged almirahs.If the number of stools be one more than the number of workers and the total number of legs be 585 the number of workers in the office are ?

• A. 17
• B. 34
• C. 16
• D. Cannot be determined

Answer 1

The Correct Option is B

The correct option is (B): 34
Explanation: Given :-
4 legged chairs = 4 legged tables = no of workers .
3 legged stools = 4 legged almirahs
No. of stools = 1 + no. of workers
Total no. of legs = 585
let the no. of workers\(=x\)
So,
\(2x+x\times4+x\times4+(x+1)3+(x+1)4=585\)
\(17x=578\)
\(\therefore x=34\)