Question

A restaurent 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 . If all the tables have the same number of chairs do the two dining rooms have in tot

Answer 1

Given:

Number of dining rooms = 2

Tables in the first room = 16

Tables in the second room = 12

Chairs in the first room = 24 + the chairs in the second room

All tables have the same number of chairs

To find:

Number of chairs the two dining rooms have in total

Solution:

Let us denote the number of chairs a table has as x.

So, number of chairs in the first room = 16x (because all the tables have same number of chairs)

Number of chairs in the second room = 12x

Now, chairs in the first room [16x] = 24 + chairs in the second room [12x]

The following equation is formed:

⇒ 16x = 24 + 12x

⇒ 16x - 12x = 24

⇒ (16 - 12)x = 24

⇒ 4x = 24

⇒ x = 24/4

⇒ x = 6

So, the number of chairs a table has is 6.

Number of chairs the two dining rooms have in total = 12x + 16x

= 28x

= 28 × 6

= 168 chairs

Therefore, the two dining rooms have 168 chairs in total.

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