SOLUTION: A cinema hall has three classes of tickets namely classic deluxe and economy classic is priced at rs.250 per ticket deluxe at rs. 200 per ticket and economy at rs 150 per ticket th

Algebra ->  Linear-equations -> SOLUTION: A cinema hall has three classes of tickets namely classic deluxe and economy classic is priced at rs.250 per ticket deluxe at rs. 200 per ticket and economy at rs 150 per ticket th      Log On


   

Question 1036702: A cinema hall has three classes of tickets namely classic deluxe and economy classic is priced at rs.250 per ticket deluxe at rs. 200 per ticket and economy at rs 150 per ticket the number of deluxe class ticket was fifty more than that of the classic class and 100 less than that of the economy class.if the total amount collected on a particular day was rs. 77500 find the number of tickets sold of each class
Answer by josgarithmetic(39616) About Me  (Show Source):
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A cinema hall has three classes of tickets; namely:


IDENTIFY VARIABLES AND ANALYZE DESCRIPTION----------

Classic deluxe and economy (c, d, b - using b for "budget)
 c   counts Classic tickets
d    counts Deluxe tickets
b    counts Budget tickets


Classic is priced at rs.250 per ticket.

Deluxe at rs. 200 per ticket and

economy at rs 150 per ticket.

The number of deluxe class ticket was fifty more than that of the classic class and 100 less than that of the economy class.
system%28d=50%2Bc%2Cd=-100%2Bb%29

if the total amount collected on a particular day was rs. 77500
250c%2B200d%2B150b=77500

find the number of tickets sold of each class.

FORM A SYSTEM OF EQUATIONS---------------------

Solve this system: system%28d=c%2B50%2Cd=b-100%2C250c%2B200d%2B150b=77500%29


SIMPLIFY AND SOLVE THE SYSTEM-------------------
system%28c%2B50=b-100%2C5c%2B4d%2B3b=1550%29
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system%28c%2B50=b-100%2C5c%2B4%28c%2B50%29%2B3b=1550%29
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system%28c=b-150%2C9c%2B200%2B3b=1550%29
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system%28c=b-150%2C9c%2B3b=1350%29
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highlight%28system%28c=b-150%2C3c%2Bb=450%29%29------Keep going from here. Use either substitution, or arrange and use Elimination Method...