How do i solve this problem ?

Question

Kyle was in charge of ticket sales for the upcoming track meet. The cost of the tickets was $3 for students and $6 for adults.they collected $840 from ticket sales . There were total of 200 tickets sold.

 

 

write expression for the amount of adult tickets sold. 

write an equation to determine vale of x .

solve the equation to determine how many students attended.

how many adults attended?

 

Answer 1

Dear Angel,

 

     Hello, please start your problem by writing it and underlining or highlighting key words or numbers.

 

Let X= number of student tickets           Let Y= number of adult tickets

 

The cost of tickets for students= $3(X)

 

The cost of adult tickets= $6 (Y)

 

 

$3X + $6Y = $840                          You have a system of equations here.  Next I will use substitution to solve.

 

  X + Y = 200 tickets sold

 

 

 

3X + 6( 200-X) = $840

 

3X + 1200 -6X = 840

 

 

       1200-3X = 840             Add 3X to both sides of equal sign, and subtract 840 from both sides.

 

       1200-840= 3X

 

           360=3X

 

              360/3 =  X         120 = X           Try the first original equation, and substitute value for "X."

 

3(X) + 6 (Y) =840

3(120) + 6Y=840

 

 

360 + 6Y  = 840

          6Y= 840-360=480

           y=80                 Therefore, 80 adults attended, and 120 students.

 

Note: [You can also now find out how much money was earned for each group.]

 

The last thing you can do would be to substitute values into the original equations to see if the answers check.