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# Help me with this problem! Show the work Please?

Topic: Problem solving problems for adults
July 19, 2019 / By Christa
Question: One evening 478 tickets were sold at the local movie theater. The carges for admission were \$ .85 for adults and \$ .50 for children. The total receipts for the performance was \$ 375.50 . How many adults and how many children attended?

## Best Answers: Help me with this problem! Show the work Please?

Audrey | 8 days ago
a = adult c = children .85a + .50c = \$375.50 This says 'number of adult tickets * price of adult ticket' + 'number of children tickets * price of children ticket' = Total ticket price. a + c = 478 This says 'number of adult tickets' + 'number of children tickets' = 478 tickets Rearrange one equation, then plug it in the other equation. a = 478 - c Plug it in to .85a + .50c = 375.50 .85(478 - c) + .50c = 375.50 And Solve for c. That will give you the number of children tickets. Plug that back into either of the original equations and solve for a, and that will give you the number of adults attended. Good luck! Edit: Also, don't forget to plug in the numbers you get for a and c into the original equation to double check!
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