Answer the word problem...

Question

The car show sold the same number of general admission tickets as student discount tickets. The student tickets cost $6.00 less than the general admission tickets. The total amount of money collected for student tickets was $1800 and for general admission tickets, $3000. What was the price of a general admission ticket?

 

a. $12
b. $6
c. $9
d. $15

Answer 1

The problem solution goes as follows

 

G = number of general admission tickets

S = number of student tickets

 

G = S is given

 

Cg is the cost of the general admission ticket

Cs is the cost of the student ticket 

 

Cg = Cs + 6

 

The total amount collected for general admission is

 

3000 = G*Cg = G*(Cs + 6)

 

The total amount for student tickets is 

 

1800 = S*Cs = G*Cs because G = S

 

So now you have two equations and two unknowns. These are

 

3000 = G*(Cs+6)

1800 = G*Cs

 

Subtract the second equation from the first

 

1200 = 6*G means G = 200 and S = 200

 

that means 1800 = 200*Cs or Cs = 9. This means Cg = Cs + 6 = 15. So the answer is 'd'

Answer 2

Gen Admission ticket = $15, Student ticket = $9, 200 of each type of ticket sold