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Tickets for a basketball game cost $5 for students and $8 for adults. The number of students was 7 less than 9 times the number of adults. The total amount of money from tickets sales was $3039. How many tickets were sold for adults aside from students?

Respuesta :

facundo3141592

We conclude that 515 student tickets were sold, and 58 adult tickets.

How many tickets of each type were sold?

Let's define the variables:

  • x = tickets for students sold.
  • y = tickets for adults sold.

We can write the system of equations:

x = 9*y - 7

x*5 + y*8 = 3039

Now we can replace the first equation into the second one:

(9*y - 7)*5 + y*8 = 3039

45y + 8y  - 35 = 3039

53y = 3074

y = 3074/53 = 58

Now we can use:

x = 9y - 7 = 9*58 - 7 = 515

We conclude that 515 student tickets were sold, and 58 adult tickets.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

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