A concert hall sells half price tickets to members of the armed forces. For a concert last week, the hall sold 300 tickets altogether and 50 of the were to members of the armed forces. Altogether, they made $6050. What is the normal ticket price? (Without the military discount)

Respuesta :

Answer:

The normal ticket price is [tex]\$22[/tex]

Step-by-step explanation:

Let

x------> the normal ticket price

we know that

The linear equation that represent this situation is

[tex](300-50)x+(50)\frac{x}{2}=6,050[/tex]

Solve for x

[tex](250)x+(25)x=6,050[/tex]

[tex](275)x=6,050[/tex]

[tex]x=6,050/275=\$22[/tex]