Searches related to a 500-seat theater charges $5 per ticket for students and $8 per ticket for adults. all seats for the performance tonight are filled and total ticket sales are $3400. which two equations below form a system of equations that you could use to determine how many student tickets and how many adult tickets were sold if x = the number of student tickets sold and y = the number of adult tickets sold?

The system of equation form is and

Student tickets sold is 200 and Adult tickets sold is 300.

Step-by-step explanation:

Given : Searches related to A 500-seat theater charges $5 per ticket for students and $8 per ticket for adults. All seats for the performance tonight are filled and total ticket sales are $3400.

To find : The system of equation form to determine how many student tickets and how many adult tickets were sold.

Solution :

Let x = the number of student tickets sold.

Let y = the number of adult tickets sold.

A 500-seat theater charges $5 per ticket for students and $8 per ticket for adults. Total ticket sales are $3400.

........[1]

.......[2]

The system of equation form is and

Now, we solve the system of equations

Substitute x=500-y from [1] in [2]

Put back in equation [1]

Therefore, Student tickets sold is 200 and Adult tickets sold is 300.

Number of tickets sold to students and adults are 200 and 300 respectively.

Step-by-step explanation:

Let, the number of student tickets = x and number of adult tickets = y.

As, there are total number of 500 seats in the theater, we have,

Also, the price of the tickets is $5 per student and $8 per adult.

Since, the total sales are of $3400. We get,

So, the system of equations is given by,

x+y=500   ........................... (1)

5x+8y=3400    ..........................(2)

Multiply equation (1) by 5 and subtract with equation (2), we get,

3y = 900 i.e. y= 300

So, x=500-y implies x=500-300 i.e. x= 200

Hence, the number of tickets sold to students and adults are 200 and 300 respectively.

1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x

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