A concert hall sells half price tickets to members of the armed forces. For a concert last week, the hall sold 300 tickets altog

Question

3 years ago

12

A concert hall sells half price tickets to members of the armed forces. For a concert last week, the hall sold 300 tickets altog

ether 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)

Mathematics

1 answer:

djverab [1.8K] · Answer 1 · 2022-07-20T20:58:14+03:00

djverab [1.8K]3 years ago

8 0

Answer:

The normal ticket price is $\$22$

Step-by-step explanation:

Let

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

we know that

The linear equation that represent this situation is

$(300-50)x+(50)\frac{x}{2}=6,050$

Solve for x

$(250)x+(25)x=6,050$

$(275)x=6,050$

$x=6,050/275=\$22$