Question

A total of 202 people attended a graduation party. There were 60 tables at which the guests could sit. Some of the tables accommodated 2 people each, and the rest accommodated 4 people each. Assuming all of the tables were filled to capacity and every person got to sit at a table,

exactly how many of the tables accommodated 2 people?

Answer 1

Answer:19 tables that accommodated 2 people each.

Explanation:

Answer 2

Explanation:

Let's denote the number of tables that accommodated 2 people each by x, and the number of tables that accommodated 4 people each by y.

We know that the total number of tables is 60, so we have:

x + y = 60

We also know that a table that accommodates 2 people each can seat 2 people, and a table that accommodates 4 people each can seat 4 people. So the total number of people seated is:

2x + 4y

And we know that there were a total of 202 people at the party, so we have:

2x + 4y = 202

We can use these two equations to solve for x, the number of tables that accommodated 2 people each.

First, we can rewrite the first equation as:

y = 60 - x

Then we can substitute this expression for y into the second equation:

2x + 4(60 - x) = 202

Simplifying and solving for x, we get:

2x + 240 - 4x = 202

-2x = -38

x = 19

So there were 19 tables that accommodated 2 people each.