SOLUTION: This is a word problem I am having trouble setting up. Please help! The oak street theater sells adult tickets for $7.50 each, and childrens tickets for $2.00 each. On a certa

Question 212492: This is a word problem I am having trouble setting up. Please help!
The oak street theater sells adult tickets for $7.50 each, and childrens tickets for $2.00 each. On a certain day, they sold 75 tickets, and made a total of $408.50. How many of each type of ticket did they sell? If you can help me get started with the equation and how to set it up I can figure it out. Thank you,
Mallory
Found 2 solutions by stanbon, rapaljer:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The oak street theater sells adult tickets for $7.50 each, and childrens tickets for $2.00 each. On a certain day, they sold 75 tickets, and made a total of $408.50. How many of each type of ticket did they sell?
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Quantity Equation: a + c = 75
Value Equation: 7.5a+2c = 408.50
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Multiply thru the Quantity Eq by 2 to set it up for elimination:
2a + 2c = 150
---
Subtract that from the Value Equation:
5.5a = 258.5
a = 47 (# of adults)
c = 75-47 = 28 (# of children)
====================================
Cheers,
Stan H.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Let x = number of children's tickets

Since there were 75 tickets total, the number of adult tickets is the total 75 minus the number of children's tickets x:

75-x = number of adult tickets.

The total value of the tickets equals the sum of the value of each ticket sold times the number of each ticket:
2*x+7.50*(75-x) = 408.50

See if that works! If not, send me an Email or re-post the problem!!

R^2

For additional explanation on these types of word problems please see my own website. Do a Bing Search for my last name "Rapalje". Look for "Rapalje Homepage" which should be at the top of the list. Near the top of my Homepage, look for the link "Basic Intermediate and College Algebra: One Step at a Time." Choose "Basic Algebra", and look in Chapter 1 for the topics of Word Problems. This is a free user-friendly explanation, with examples and exercises. See also the "MATH IN LIVING COLOR" pages that go with these pages, where many of these exercises are solved in COLOR!

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