420 tickets were sold. The ticket prices were​ $8, $10, and​ $12, and the total income from ticket sales was $3920. How many tickets of each type were sold if the combined number of​ $8 and​ $10 tickets sold was 6 times the number of​ $12 tickets​ 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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At a college production of a​ play, 420 tickets were sold. The ticket prices were​ $8, $10, and​ $12, and the total income from ticket sales was $3920. How many tickets of each type were sold if the combined number of​ $8 and​ $10 tickets sold was 6 times the number of​ $12 tickets​ sold?

Expert Solution
Step 1

Let , x be the number of tickets sold at $8 

        y be the number of tickets sold at $10

        z number of be the tickets sold at $12

we have to find the values of x , y , z .

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