44. A theater charges $50 per ticket for seats in Section A, $30 per ticket for seats in Section B, and $20 per ticket for seats in Section C. For one play, 4000 tickets were sold for a total of $120,000 in revenue. If 1000 more tickets in Section B were sold than the other two sections combined, how many tickets in each section were sold?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 58SE: At a carnival, $2,914.25 in receipts were taken at the end of the day. The cost of a child's ticket...
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44. A theater charges $50 per ticket for seats in Section A,
$30 per ticket for seats in Section B, and $20 per ticket
for seats in Section C. For one play, 4000 tickets were
sold for a total of $120,000 in revenue. If 1000 more
tickets in Section B were sold than the other two
sections combined, how many tickets in each section
were sold?
Transcribed Image Text:44. A theater charges $50 per ticket for seats in Section A, $30 per ticket for seats in Section B, and $20 per ticket for seats in Section C. For one play, 4000 tickets were sold for a total of $120,000 in revenue. If 1000 more tickets in Section B were sold than the other two sections combined, how many tickets in each section were sold?
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