Admission to a baseball game is $⁢3.00 for general admission and $6.50 for reserved seats. the receipts were $4536.00 for 1050 paid admissions. how many of each ticket were sold? (round to nearest integer if necessary.)

Respuesta :

Let g=general admissions
r=reserved seats
g+r=967
3.50g+6.50r=4491.50
Solve for g in the first equation
g=967-r
Substitute the value of g in the second equation
3.50(967-r)+6.50r=4491.50
Distribute
3384.50-3.50r+6.50r=4491.50
3384.50+3r=4491.50
3r=1107
r=369
Now plug in the value of r into one of the original equations
g+369=967
g=598
There were 598 general admission tickets sold and 369 reserved seat tickets sold

Hope this helps:)