Question

In the Soft Boulder Cafe each table has 3 legs, each chair has 4 legs and all the customers and the three members of staff have two legs each. There are four chairs at each table. At a certain time, three-quarters of the chairs are occupied by customers and there are 206 legs altogether in the cafe. How many chairs does the cafe have?

Answer 1

32 chairs

Explanation:

In the soft Boulder cafe they a chairs , table and customers and the 3 members staffs.

Each Table = 3 legs

Each Chairs = 4 legs

Each customer = 2 legs

Each members of staffs = 2 legs

4 chairs goes with each table. This means 4 × 4 = 16 legs of chairs for each 3 legs of table.

At a certain time 3/4 of the chairs are occupied by customers. That is 3 out of 4 chairs are occupied plus 6 tables . Therefore,

3 + 16 + 6 = 25 legs of table

206 legs altogether - the 6 legs of the staff(3 staffs has 6 legs)= 200 legs

This means 200 legs = 8 tables. Therefore,

8 tables requires 32 chairs