Tickets for the historical review of ballroom dancing at the Portsmouth Music Hall cost $42 for the main-floor seats and $25 for the balcony seats. Let m represent the number of tickets sold for the main-floor seats and let b represent the number of tickets sold for the balcony seats. What is the algebraic expression for each of the following amounts?

(a) The cost in dollars of all the main-floor seats that were sold

(b) The total number of seats that were sold for the performance

Question

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Bubblegum

4 March, 08:25

Tickets for the historical review of ballroom dancing at the Portsmouth Music Hall cost $42 for the main-floor seats and $25 for the balcony seats. Let m represent the number of tickets sold for the main-floor seats and let b represent the number of tickets sold for the balcony seats. What is the algebraic expression for each of the following amounts?

(a) The cost in dollars of all the main-floor seats that were sold

(b) The total number of seats that were sold for the performance

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Answers (1)

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Dulce Shaffer · Answer 1

(a) The cost in dollars of all the main-floor seats that were sold: 42m + 25b. (b) The total number of seats that were sold for the performance: m+b.

Explanation:

Its understood that 1 tickect is equal to 1 seat, therefore the number of seats = number of tickets regardless of the type of seat. With this assumption, the algebraic expressions can be done.