Question

The party planning committee has to determine thenumber of tables needed for an upcoming event. If asquare table can fit 8 people and a round table can fit 6people, the equation 150 = 8x + 6y represents thenumber of each type of table needed for 150 people.

Answer 1

For this case we have the following equation given:

$150=8x+6y$

From the info given we can see that

the variable x is the number of square tables

the variable y is the number of round tables

If y =9 then we can solve for x and we have this:

$150-6y=8x$

And solving for x we got:

$x=\frac{150-6y}{8}$

And replacing y=9 we got:

$x=\frac{150-(6\cdot9)}{8}=12$