Q:

Tickets for a high school football game cost $2 for students and $3 for general admission. 195vere sold and $5035 was collected. How many of each type of tickets was sold?​

Accepted Solution

A:
Answer:The number of tickets for students sold was 836 and the number of tickets for general admission sold was 1,121Step-by-step explanation:The correct question isTickets for a high school football game cost $2 for students and $3 for general admission. 1,957 tickets were sold and $5,035 was collected. How many of each type of tickets was sold?​Letx ----> number of tickets for students soldy ----> number of tickets for general admission soldwe know that[tex]x+y=1,957[/tex] ----> [tex]x=1,957-y[/tex] ----> equation A[tex]2x+3y=5,035[/tex] ----> equation BSolve the system by substitutionsubstitute equation A in equation B[tex]2(1,957-y)+3y=5,035[/tex]solve for y[tex]3,914-2y+3y=5,035[/tex][tex]-2y+3y=5,035-3,914[/tex][tex]y=1,121[/tex]Find the value of x[tex]x=1,957-y[/tex] ----> [tex]x=1,957-1,121=836[/tex]thereforeThe number of tickets for students sold was 836 and the number of tickets for general admission sold was 1,121