SOLUTION: Tickets were sold for R200 and R300 a total of 250 tickets were sold. The total amount taken for the show was R 55 000. Determine how many of each tickets were sold
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-> SOLUTION: Tickets were sold for R200 and R300 a total of 250 tickets were sold. The total amount taken for the show was R 55 000. Determine how many of each tickets were sold
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Question 1138094: Tickets were sold for R200 and R300 a total of 250 tickets were sold. The total amount taken for the show was R 55 000. Determine how many of each tickets were sold Answer by ikleyn(52781) (Show Source):
Let x = # of the R300 tickets, y = # of R250 tickets.
From the condition, you have these 2 equations
x + y = 250 (1) (counting tickets)
300*x + 200*y = 55000 (2) (counting money)
From equation (1), express y = 250 - x and substitute it into equation (2). You will get
300*x + 200*(250-x) = 55000.
Express x and calculate answer
x = = 50.
Then from equation (1), y = 250 - 50 = 200.
ANSWER. 50 R300 tickets and 200 R200 tickets.
CHECK. 50*300 + 200*200 = R55000. ! Correct !
The problem solved using 2-equation setup and the Substitution method.
