Tickets of a program at college cost $5 for general admission or $4 with a student ID. If 180 people paid to see a performance and $795 was collected, how many of each type of ticket were sold?

Tickets of a program at college cost $5 for general admission or $4 with a student ID.
180 people paid to see a performance and $795 was collected, how many of each type of ticket were sold is to be determined.

Here,
Number of admission with general admission = x
Number of admission with college id = y

According to the given conditions,
x + y = 180
x = 180 - y - - - - - - (1)
5x + 4y = 795 - - - - - (2)

Now put the value of the equation in equation 2
5 (180 - y) + 4y = 795
900 - 5y + 4y = 795
-y = 795 - 900
-y = -105
y = 105

Now put y in equation 1

x = 180 - 105
x = 75

Thus, the number for tickets with general admission is 75 and with student id is 105.

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Tickets of a program at college cost ​$5 for general admission or ​$4 with a student ID. If 180 people paid to see a performance and ​$795 was​ collected, how many of each type of ticket were​ sold?

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Tickets of a program at college cost $5 for general admission or $4 with a student ID. If 180 people paid to see a performance and $795 was collected, how many of each type of ticket were sold?