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The baseball team sold $1,340 in tickets one Saturday. The number of $12 adult tickets was 15 more than twice the number of $5 child tickets. How many of each were sold?

Respuesta :

Let x and y be the number of adult and child tickets respectively.

[tex]12x + 5y = 1340[/tex]
[tex]x = 2y + 15[/tex]

[tex]12(2y + 15) + 5y = 1340 \\ 24y + 180 + 5y = 1340 \\ 29y + 180 = 1340 \\ 29y = 1160 \\ y = 40[/tex]
[tex]x = 2y +15 \\ x = 2(40) + 15 \\ x = 95[/tex]

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