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Word problem: $32.95 for an adult ticket and $22.95 for a junior ticket. one day, the park collected $10,612 from a total of 360 tickets sold. how many were adult tickets and how many were juniors?

Respuesta :


[tex]x + y = 360 \\ 32.95x + 22.95y = 10612[/tex]
First, solve
[tex]x = 360 - y[/tex]

Substitute that into equation
[tex]32.95(360 - y) + 22.95y = 10612 \\ 11862 - 32.95y + 22.95y = 10612 \\ 11862 - 10y = 10612 \\ 10y = 1250 \\ y = 125[/tex]

Substitute y = 125 into
[tex]x = 360 - 125 \\ x = 235[/tex]

There were 235 adult tickets and 125 junior tickets.

Hope this helps. - M