A school production

Question

A school musical production brought in $12.600 on the sale of 3,500 tickets. if the tickets for $2 and $4, how many of each type were sold?

Answer 1

C = num of child tickets ($2)
A = num of Adult tickets ($4)

2C + 4A = $12,600
C + A = 3500 (total tickets sold)

solve C in terms of A and substitute back into the 1st equation
C = 3500 - A

2(3500 - A) + 4A = $12,600
7000 - 2A + 4A = $12,600
7000 + 2A = $12,600
2A = 5600
A = 2800 @ $4

C + 2800 = 3500
C = 700 @ $2

 

Answer 2

t = number of 4 dollar tickets

3500 - t = number of 2 dollar tickes

 

4t + 2(3500 - t) = 12600

4t + 7000- 2t = 12600

2t = 5600

t = 2800

 

2,800 $4 tickets were sold. 700 $2 tickets were sold.