An office has as many four-legged chairs and as many four-legged 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?

Options

A. 17
B. 34
C. 16
D. cannot be determined

Answer

B

Explanation

Let the number of workers = x.
Total no. of legs = 585 (Given)
Also given, 4legged chairs=4 legged tables=number of workers = x,
3 legged stools = 4 legged almirahs,
Number of stools = number of workers + 1 = x +1.
According to the question,
` 2x + 4x + 4x + 3 (x + 1) + 4 (x + 1) = 585 `
or, `17x + 7 = 585 `
or, `17x = 578 `
or, `x= 34`.
Therefore, required number of workers = x = 34.