SOLUTION: Tickets for a school play sold for $7.50 for each adult and $3 for each child. The total reciepts for 113 tickets sold were $663. Find the number of adult tickets sold! Please g

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Question 652410: Tickets for a school play sold for $7.50 for each adult and $3 for each child. The total reciepts for 113 tickets sold were $663. Find the number of adult tickets sold!
Please get back to me as soon as you can! Thank you!
Answer by MathTherapy(10552) About Me  (Show Source):
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Tickets for a school play sold for $7.50 for each adult and $3 for each child. The total reciepts for 113 tickets sold were $663. Find the number of adult tickets sold!
Please get back to me as soon as you can! Thank you!

Let amount of adults who attended be A
Then amount of children who attended = 113 - A

Since an adult and a child's ticket cost $7.5, and $3, respectively, then:

7.5A + 3(113 - A) = 663

7.5A + 339 - 3A = 663

7.5A - 3A = 663 - 339

4.5A = 324

A, or amount of adults who attended = 324%2F4.5, or highlight_green%2872%29

Since 113 tickets were sold, and since 72 adults attended, then amount of children who attended = 113 - 72, or highlight_green%2841%29

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