Question

the Santa Ana College theartre department sold 177 tickets to the spring play student tickets were sold for $7 each and general admission ticket were $9 if the total tickets sales were 1365 how many of each type of tickets were sold?

Answer 1

Let

x -----> number of play student tickets sold

y ----> number of general admission tickets sold

we have that

x+y=177 ------> x=177-y -----> equation A

7x+9y=1365 -----> equation B

solve the system

substitute equation A in equation B

7(177-y)+9y=1365

solve for y

1239-7y+9y=1365

2y=1365-1239

2y=126

y=63

Find the value of x

x=177-63

x=114

therefore

student tickets sold was 114

general admission ticket sold was 63