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Adult tickets to a basketball game cost 5 dollars. Student tickets cost 1 dollar. A total of $2,845 was collected on thesale of 1,181 tickets. How many of each type of ticket were sold?

 Mar 10, 2021
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Hey there.

 

Here we have 2 unknowns and 2 variables so you need two equations.

 

Let x=number of adult tickes purchased

Let y=number of student tickets purchased

 

we know that 1181 tickets were sold and $2845 was raised. Given that we get the two equations:

 

x+y=1181

5x+y=2845

 

Here we can use elimation by taking the first equation from the second:
 

4x=1664

x=416 adults

 

Now you sub this back in to get y:
 

416+y=1181

y=765 students

 

Thus you have 416 adult tickets and 765 student tickets

 

Hope this helped :)

 Mar 10, 2021

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