SOLUTION: A rock concert sells lower level tickets for $67 and upper level tickets for $73. On the opening night 6481 tickets were sold for a total $461383. How many lower level tickets

Question 1124703: A rock concert sells lower level tickets for $67 and upper level tickets for $73. On the opening night 6481 tickets were sold for a total $461383.
How many lower level tickets were sold?
How many upper level tickets were sold?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Let x be the number of lower level tickets and y be the number of upper level tickets. Then the given information tells us

(1) x+y = 6481 (the total number of tickets was 6481)
(2) 67x+73y = 461383 (the total cost of the tickets was 461383)

With both equations in Ax+By=C form, the easiest way to solve the pair of equations is by elimination.

--> multiply equation (1) by 67
--> subtract that new equation from equation (2), eliminating x
--> solve the resulting equation for y
--> substitute that value of y in equation (1) to solve for x
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