Question

A restaurant has two dining rooms.
The first room has 16 cables, and the second room
has 12 tables
There are 24 more chairs in the first room than in
the second
If all the tables have the same number of chairs, how
many chairs do the two dining rooms have in total?​

Answer 1

168

Step-by-step explanation:

Let the number of chairs around one table be x.

Number of chairs in first room = 16x

Number of chairs in second room = 12x

16x=12x+24

4x=24

x=6

Total number of chairs = 16x+12x = 28x

= 28×6

= 168

Answer 2

Given : A restaurant has two dining rooms.

The first room has 16 tables, and the second room has 12 tables.

There are 24 more chairs in the first room than in the second.

 all the tables have the same number of chairs,

To Find :  how many chairs do the two dining rooms have in total

Solution:

Let say each table has  C chairs

Then 16 tables has 16C  chairs

and 12 tables has   12C  chairs

Hence extra chairs in First room = 16C - 12C  = 4C  Chairs

Extra Chairs = 24

Hence 4C  = 24

=> C =  6

Hence 6 chairs for each table

Total Table = 16 + 12 = 28

Hence Total Chairs = 28 * 6  =  168  

the two dining rooms have in total = 168 Chairs

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