Question

A catering company is setting up for a wedding they expect 150 people to attend they can provide tables that seat 6 people and large tables that seats 10 people Is the point (20,5) a solution to the equation 6x+10y=150 explain the point (20,5) means in context

Answer 1

Answer:

(20,5) is NOT a solution of the equation $6x+10y=150$.

The point (20,5) implies that there are 20 small tables and 5 large tables.

Step-by-step explanation:

We have been given that a catering company is expecting 150 people to attend the wedding. There are two types of tables, ones which can fit 6 people and ones which can fit 10 people.

If there are x tables which can fit 6 people and there are y tables which can fit 10 people, we can express the total number of people that can fit on all available tables as: $6x+10y$.

Since there are total 150 people expected in the wedding, the equation can be framed as: $6x+10y=150$.

Let us check if the point (20,5) is a solution of the equation.

$6*20+10*5=150$

$120+50=150$

$170=150$

Since we get a false statement, therefore, (20,5) is NOT a solution of the equation $6x+10y=150$.

The point (20,5) implies that there are 20 small tables and 5 large tables.