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|
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|
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.
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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?
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