The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people. The variable x represents the number of . The variable y represents the number of . If y = 9, find the value of x. The committee needs square tables.

You know that the equation is 150 = 8*x + 6*y. You also know that 8 people can fit on a square table and 6 people can fit on a round table. Then 8 people multiplied by the amount of square tables plus 6 people by the amount of round tables should add 150 people. So in the previous equation the variable "x" is the number of square tables and the variable "y" represents the number of round tables.

If the number "y" of round tables is 9, you can replace this value in equation 150 = 8*x + 6*y, with 150 = 8*x + 6*9. Solving this last equation, you can calculate the value of the variable "x", that is, calculate the amount of square tables needed.

150= 8*x + 6*9

150= 8*x + 54

150-54= 8*X +54 - 54

96 = 8*x

[tex]\frac{96}{8} =\frac{8}{8} *x[/tex]

12=x

So, the committee needs 12 square tables.

topeadeniran2 topeadeniran2 · Answer 2 · 2021-10-22T12:26:15+02:00

The number of square tables that's needed will be 12 square tables.

The equation given is 150 = 8x + 6y and this represents the number of each type of table that's needed for 150 people.

Since 6 people are already give for the round tables, then to solve the square tables will be:

150 = 8x + 6y

150 = 8x + (6 × 9)

150 = 8x + 54

Collect like terms

8x = 150 - 54

8x = 96

Divide both side by 8

8x/8 = 96/8.

x = 12

Therefore, the number of square table that's needed will be 12 square tables.

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