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=(150-6y)/(8)`

And replacing y=9 we got:

`x=(150-(6\cdot9))/(8)=12`