Adult tickets for a school musical sold $7 and student tickets sold for $4. 150 tickets were sold all together for $891. How many of each type were sold?

81 of each type of ticket was sold

Step-by-step explanation:

81 × adult tickets ($7) = $ 561

81 × students ticket ($4)= $324

Adult ticket were sold = 97 tickets

Student tickets were sold = 53 tickets

Step-by-step explanation:

Let x be the adult ticket and y be the student ticket.

Adult ticket for $7.

Student ticket for $4.

Total sold ticket = 150

Total sold tickets for $891

Solution:

As per given statement, 150 tickets were sold for $891.

So, total adult ticket and student ticket is equal to 150 tickets:

------------(1)

Adult tickets for a school musical sold $7 and student tickets sold for $4.

So, the equation is written as:

------------(2)

Solve the equation 1 for x.

---------------(3)

Substitute in equation 2.

Add 3y both side of the equation.

y = 53 student tickets

Substitute y = 53 in equation 3.

x = 97 adult tickets

Therefore, 97 adult tickets and 53 student tickets were sold.

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step-by-step explanation: