Ticket difficulties are native problems comparable to coin problems and also stamp problems as tickets might be denominated in specific values.

You are watching: The number of tickets sold for a concert during each hour

Be mindful to distinguish between the value of the items and also the quantity of the items.

A table have the right to be useful for distinguishing in between quantity and value in this kind of indigenous problems.

Example:The expense of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets to be sold and $950 to be collected. How countless tickets the each form were sold?

Solution:Step 1: collection up a table through quantity and value.

amount value complete
$3 tickets
$2 tickets
together

Step 2: fill in the table with details from the question.

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The expense of tickets because that a pat is $3.00 because that adults and $2.00 for children. 350 tickets were sold and also $950 was collected. How numerous tickets the each form were sold?

Let x = number of $3 ticketsLet y = number of $2 ticketsTotal = quantity × value

quantity value complete
$3 tickets x 33x
$2 ticketsy 2 2y
together 350 950

Step 3: include down each obelisk to get the equations

x + y = 350 (equation 1)3x + 2y = 950 (equation 2)

Use Substitution MethodIsolate variable x in equation 1

x = 350 – y (equation 3)

Substitute equation 3 right into equation 2

3(350 – y) + 2y = 9501050 – 3y + 2y = 9503y – 2y = 1050 – 950y = 100

Substitute y = 100 right into equation 1

x + 100 = 350x = 250

Answer: 250 $3 tickets and 100 $2 tickets to be sold.


Ticket indigenous Problems

Example:Jim offered 120 ticket to a game. Adult tickets room $24 each and children tickets space $13 each. Sales are $2110. How numerous of each was sold?

Word problems With theatre Attendance

Example: 500 world see a play. Children are fee $15 and also adults $25. Ticket proceeds room $11,250. Exactly how many children attended the play?

Algebra - word Problems: through Movie Tickets

Example: for a theater showing 202 tickets were sold. A child’s ticket expenses $6.00 and also an adult’s ticket costs $10.00. How plenty of tickets of every were marketed if the receipts totaled $1708.00?

settle Ticket Word difficulties In three Variables

Example: The Goonies sold 785 concert tickets for a full of $17,650. If great tickets cost $40 and cheap tickets expense $15, how numerous of each form of ticket did they sell?

Example: in ~ the arcade, Sammy won two blue tickets, 1 yellow ticket and also 3 red tickets for a complete of 1,500 points. Jamal won 1 blue, 2 yellow and also 2 red because that 1225 points. Yvonne winner 2 blue, 3 yellow and 1 red because that 1200 points. How much is every ticket worth?

Word problem - Mixture the Ticket Sales

Example: For opened night 328 tickets were sold. Students payment $2 every while non-students payment $4 each. If a total of $910 were collected, how countless students and also how numerous non-students attended?

Try the totally free Mathway calculator and also problem solver below to practice various math topics. Try the given examples, or type in your own problem and also check her answer through the step-by-step explanations.

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