Question

The Drama Club sold 900 tickets to the school play. They charged $5.50 for students and $8.00 for non-students.

If they took in $5700, how many non-student tickets were sold?

Answer 1

300 non student tickets were sold

Explanation:

Let's solve the equation step by step,

In order to solve for how many non student tickets were sold, let's make an equation

5.50x + 8.00y = 5700 --------(equation 1)

x + y = 900 ---------------(equation 2)

Let's solve for x and y

5.5x+8y=5700;x+y=900

Rewrite equations:

x+y=900;5.5x+8y=5700

Step: Solve x+y=900 for x:

x+y=900

x+y+−y=900+−y(Add -y to both sides)

x=−y+900

Step: Substitute−y+900forxin5.5x+8y=5700:

5.5x+8y=5700

5.5(−y+900)+8y=5700

2.5y+4950=5700(Simplify both sides of the equation)

2.5y+4950+−4950=5700+−4950(Add -4950 to both sides)

2.5y=750

2.5y/2.5 = 750/2.5

(Divide both sides by 2.5)

y=300

Step: Substitute300foryinx=−y+900:

x=−y+900

x=−300+900

x=600(Simplify both sides of the equation)

Since y = 300 then 300 non student tickets were sold