SOLUTION: A stage theater sold tickets for 500 pesos. Senior citizens receive a discount of 20% and paid only for 400 pesos. On the initial showing, the theater sold 450 tickets and register

Question 1049889: A stage theater sold tickets for 500 pesos. Senior citizens receive a discount of 20% and paid only for 400 pesos. On the initial showing, the theater sold 450 tickets and registered a total amount of 207,500 pesos. How many of each type of tickets were sold?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make x = 500 peso tickets
y = 400 peso tickets
x + y = 450........(1)
500x + 400y = 207,500.......(2
Multiply Eq(1) by 400
x + y = 450........(1)
400x + 400y = 180,000.......(1)
500x + 400y = 207,500.......(2)
Subtract Eq(1) from Eq(2)
100x = 27500
x = 275
Substitute x = 275 into Eq(1)
x + y = 450........(1)
275 + y = 450
y = 450 - 275
y = 175.
275 tickets at 500 pesos
175 tickets at 400 pesos.
Hope this helps :-)
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