Answer:
The number of tickets for students sold was 836 and the number of tickets for general admission sold was 1,121
Step-by-step explanation:
The correct question is
Tickets 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?
Let
x ----> number of tickets for students sold
y ----> number of tickets for general admission sold
we know that
[tex]x+y=1,957[/tex] ----> [tex]x=1,957-y[/tex] ----> equation A
[tex]2x+3y=5,035[/tex] ----> equation B
Solve the system by substitution
substitute 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]
therefore
The number of tickets for students sold was 836 and the number of tickets for general admission sold was 1,121
