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?

Nannie Mack

Nannie Mack

Answered question

2021-01-06

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?

Answer & Explanation

2abehn

2abehn

Skilled2021-01-07Added 88 answers

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. {x+y=21×(2)4x+2y=66
2x2y=42
4x+2y=66
2x=24On addition
x=12 Step 5 Obtain y as follows. (12)+y=21 x=12
y=2112
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.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?