SOLUTION: the gym is filled with 215 student and adults. Student tickets are $.50 and adult tickets are $2.00. You collected $250.00. how many adults and how many students purchased tickets.

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Question 105512: the gym is filled with 215 student and adults. Student tickets are $.50 and adult tickets are $2.00. You collected $250.00. how many adults and how many students purchased tickets. I figured the answer I just need to know the equations. Adults 95 and students 120.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Let x=# of students, and y=# of adults

You know that there are 215 people total. So the sum of the students and adults
is 215. In other words, x plus y equals 215

So the first equation represents everyone who attended

Equation 1:

Now since it's $0.50 a student, x students would generate dollars. Also since it's $2 per adult, y adults would generate dollars. So the sum of these two expressions would give the total revenue of $250. In other words, 0.5x plus 2y equals 250 would be your second equation

So the second equation represents the total revenue generated from the two groups

Equation 2:

Now just use elimination or substitution to solve for x and y