Algebra word problem

Question

Your class field trip is to a museum that charges $4 for adults and $2 for students a total of 27 tickets were purchased for the class and the adult chaperones at a total cost of $60 how many adult tickets and how many season tickets were purchased

Answer 1

Let A = number of adult tickets sold

      S = number of student tickets sold

 

1) A + S = 27                        (ticket balance with 1 ticket = 1 person buying)

 

2) $4*A + $2*S = $60           (Cost of tickets balance)

 

Therefore, you have two independent equations and two unknowns

 

from Equation 1) rearrange, so A = 27 - S

Substitute this into Equation 2) and solve for S:

 

$4*(27 - S) + $2*S = $60        (combine like terms and solve for S)

 

$108 - $4*S + $2*S = $60

 

$48 = $2*S   or $2$S = $48

 

S = $48/$2 = 24 student tickets purchased

 

A = 27 - 24 = 3 adult tickets purchased