Question

Joanne bought 15 students and non-student tickets worth 223.50 dollars altogether. The student tickets cost $12.50 each and the non student tickets cost $18.50 each. How many of each ticket did she but he buy?​

Answer 1

The answer would be 2

Answer 2

`Joanne\: bought\: 9\: student\: tickets\:and\:6\:non-student\:tickets`

Explanation:

`Let\:x,\:y\:be\:the\:number\:of\:students\:and\:non-students,\: respectively.\\We\:have\:a\:system\:of\:equation:\left \{ {{x+y=15} \atop {12.5x+18.5y=223.5}} \right.\\\Leftrightarrow \left \{ {{x=-y+15} \atop {12.5(-y+15)+18.5y=223.5}} \right.\\\Leftrightarrow \left \{ {{x=-y+15} \atop {-12.5y+187.5+18.5y=223.5}} \right.\\\Leftrightarrow \left \{ {{x=-y+15} \atop {6y=36}}\right.\\\Leftrightarrow \left \{ {{x=-6+15=9} \atop {y=6}} \right.`