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 2021-01-06 Answered
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?
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2abehn
Answered 2021-01-07 Author has 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.
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