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The school band collected $2,892 for 480 tickets sold to their spring concert. Adult tickets were $8 each and student tickets were $5 each. How many adult tickets were sold?

Respuesta :

texaschic101
a + s = 480......s = 480 - a
8a + 5s = 2892

8a + 5(480 - a) = 2892
8a + 2400 - 5a = 2892
8a - 5a = 2892 - 2400
3a = 492
a = 492/3
a = 164 <=== there were 164 adult tickets sold

Answer : The number of adult tickets sold was, 164 tickets.

Step-by-step explanation :

Let the number of adult tickets be, x

So, the number of student tickets will be, (480-x)

Total cost of tickets = $2892

Cost of 1 adult ticket = $8

Cost of 1 student ticket = $5

Thus, the equation will be:

[tex]8x+5(480-x)=2892[/tex]

By solving the term, we get the value of 'x'.

[tex]8x+2400-5x=2892[/tex]

[tex]8x-5x=2892-2400[/tex]

[tex]3x=492[/tex]

[tex]x=164[/tex]

Number of adult tickets = x = 164

Number of students tickets = (480-x) = (480-164) = 316

Thus, the number of adult tickets sold was, 164 tickets.

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