NEED HELP WITH THIS MATH QUESTIOn

Question

problem 1: The school that Gabriella goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 adult ticket and 1- tickets for a total of $39. The school took $105 on the second day by selling 9 adult tickets and 8 student tickets. What is the price each of one adult ticket and one student ticket?

problem 2:The senior classes at High School A rented and filled 2 vans and 2 buses with 326 students. High School B rented and filled 11 vans and 6 buses with 233 students. Each van and each bus carried the same number of student. Find the number of students in each an and in each bus.

Answer 1

adult tickets sold for $9

student tickets for $3

( the - key was accidentally hit instead of the 0 key

"1-" should have read "10")

1st day 1 adult plus 10 student tickets sold for $39

2nd day 9 adult plus 8 student tickets for total $105

a+10s = 39

9a+90s=9(39)

9a +8s = 105

90s-8s = 9(39)-105

82s = 351-105

s = 246/82 = $3 for a student ticket

a = 39-10(3) = $9 for an adult ticket

9(9)+8(3)

=81+24

=$105 total ticket revenue for 9 adults and 8 students

9+10(3)

=9+30

=$39 total ticket sales for 1 adult & 10 students

2v+2b =326

11v+6b = 233

there's a mistake somewhere in the problem

as is, you get

v+b = 226/2 = 113

6v+6b = 6(113)=678

11v-6v = 233-678

5v = -445

v=-89 = negative 89 students in a van

b =113+89 = 202 students in each bus

maybe -89 means 89 ghost students?

odds are the 11 should be just 1

v+b= 113

v+6b = 233

5b = 120

b = 24 students in each bus

v = 113-24 = 89 in each van

2(89)+2(24)

= 178+48=236

89+6(24)

=89+144=233

at least there are no ghosts with 1 instead of 11 vans

althoug a bus usually carries more than a van