Tickets of a program at college cost $4 for general admission or $3 with a student ID. If 180 people paid to see a performance and $613 was collected, how many of each type of ticket were sold?

Question

Mathematics

Sage Best

9 August, 20:14

Tickets of a program at college cost $4 for general admission or $3 with a student ID. If 180 people paid to see a performance and $613 was collected, how many of each type of ticket were sold?

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Answers (1)

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Edith · Answer 1

General admission people = 73

People with student ID = 107

Step-by-step explanation:

Let general admission people = x

Let people with student ID = y

Now total persons in program = 180

So x+y=180

x=180-y

Total cost = 613 = 4x + 3y (as cost specified in question)

Put value of x in above equation.

613=4 (180-y) + 3y

630=720 - y

y=107

y=107 and x = 73