Problema Solution
Admission prices in the Metro Pop concert were $20 and $50 , the total cash in one ticket booth is $9,550. Tickets were sold to 320 people. How many of each kind of tickets were sold?
Answer provided by our tutors
We will assume that each person both only 1 ticket.
x = the number of $20 tickets sold, x>0
y = the number of $50 tickets sold, y>0
There were 320 tickets sold:
x + y = 320
The total cash earned is $9,550:
20x + 50y = 9550
We have the following system of equations:
x + y = 320
20x + 50y = 9550
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click here to see the system of equations solved for x and y
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x = 215 tickets of $20
y = 105 tickets of $50
There were 215 tickets that cost $20 each and 105 tickets that cost $50 each sold.