# The restaurant La Poutine opens can accommodate 74 guests with its small counter and its 21 tables. The dining room includes tables for 4 people and tables for 2 people. If 8 customers can be at the counter, how many tables are there for 4 people in the restaurant?

The restaurant La Poutine opens can accommodate 74 guests with its small counter and its 21 tables. The dining room includes tables for 4 people and tables for 2 people. If 8 customers can be at the counter, how many tables are there for 4 people in the restaurant?
You can still ask an expert for help

## Want to know more about Two-way tables?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

2abehn
Step 1
There are 21 tables and a small counter in the restaurant that accommodate 74 guests. The tables are of two types: tables for 4 people and tables for 2 people. Assume there are x tables for 4 people and y tables for 2 people. The first equation becomes
x+y=21
Step 2
As there are 8 customers that can be at the counter, the customers occupying tables will become
74-8=66
Step 3
The second equation can be formulated as
4x+2y=66 Step 4
Use elimination method in order to find the value of x and y as follows. $\left\{\begin{array}{ll}x+y=21& ×\left(-2\right)\\ 4x+2y=66& \end{array}$
$-2x-2y=-42$
$4x+2y=66$
$2x=24\text{On addition}$
$x=12$ Step 5 Obtain y as follows.
$y=21-12$
$y=9$ Step 6
Hence, there are 12 tables for four people sitting and 9 tables for two people sitting. Therefore, the number of tables for 4 people in the restaurant is 12.