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Tickets to a school play cost $8 for general admission and $5 for students. If there were x general admission tickets and y student tickets sold, write algebraic expressions for: a) the total number of tickets sold __________________ b) the revenue, in dollars from the general admission __________ c) the revenue, in dollars from the student tickets __________ d) the total revenue from all tickets __________________

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1 Answer

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Step-by-step explanation:

Let's denote the following variables:

- \(x\) = number of general admission tickets

- \(y\) = number of student tickets

Now, we can write the algebraic expressions:

a) **Total number of tickets sold:**

\[ x + y \]

b) **Revenue from general admission tickets:**

\[ 8x \]

c) **Revenue from student tickets:**

\[ 5y \]

d) **Total revenue from all tickets:**

\[ 8x + 5y \]

Step-by-step explanation:

- In expression (a), we simply add the number of general admission tickets (\(x\)) to the number of student tickets (\(y\)) to get the total number of tickets sold.

- In expression (b), we multiply the number of general admission tickets (\(x\)) by the cost per general admission ticket (\($8\)) to get the revenue from general admission.

- In expression (c), we multiply the number of student tickets (\(y\)) by the cost per student ticket (\($5\)) to get the revenue from student tickets.

- In expression (d), we add the revenue from general admission tickets (\(8x\)) to the revenue from student tickets (\(5y\)) to get the total revenue from all tickets.

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