linaaa101
15

# Adult tickets for a play cost $12.00, and children’s tickets cost$5.00. For one performance, 460 tickets were sold. Receipts for the performance were \$3665. Find the number of each type of ticket sold.

$x-\ adult\ ticket\\ y-\ children\ ticket\\\\ \left \{ {{12x+5y=3665} \atop {x+y=460\ \ | subtract\ y}} \right. \\\\ \left \{ {{12x+5y=3665} \atop {x=460-y}} \right. \\\\ 12(460-y)+5y=3665\\\\ 5520-12y+5y=3665\\\\ 5520-7y=3665\ \ \ | subtract\ 5520\\\\ -7y=-1855\ \ \ | divide\ by\ -7\\\\ y=265\\\\ x=460-225=235\\\ There\ were\ 235\ adult\ tickets\ and\ 265\ children\ tickets.$