6 Comments

1. Jay  •  May 8, 2010 @10:11 am
   

   Nicholas

   Students = s
   Adults = a

   400 = s + a (no of people)
   1050 = 2s + 3a (tickets sold)

2. RJ  •  May 10, 2010 @8:08 pm
   

   Lori

   i’m gonna solve using one variable to make this as simple as possible

   let:
   x = number of students
   400-x = number of adults

   2x+3(400-x)=1050

   2x+1200-3x=1050

   -x=-150

   x=150

   students = 150

   adults = 400-x = 400-150 = 250

   so students = 150 adults = 250

   you can also solve this using systems of equations

3. artie  •  May 11, 2010 @10:27 pm
   

   Annette

   Ok. Let’s say A=adult entrance and S=student entrance, so:

   A+S = 400

   Also, you know that: 2*S + 3*A = 1050 (total ticket sales)

   so: 2*S = 1050 – 3*A, and then:

   S = (1050 – 3*A) / 2.

   So, going back to the first equation A+S = 400:

   A + (1050 – 3*A)/2 = 400

   A + 1050/2 – 3*A/2 = 400, rearranging and solving:

   1050/2 – 400 = A /2
   1050 – 800 = A

   A = 250, then B = 150

4. Mariluz  •  May 13, 2010 @4:38 am
   

   Brenda

   First of all, you need to set your variables:
   let x be the number of student tickets sold and let y be the number of adult tickets sold.
   We have then 2 equations with two variables:

   x + y = 400 (total number of tickets sold)
   2x + 3y = 1050 (total sales)

   you can solve by many methods this system. The solution is:

   x = 150 and y = 250, if you test the answer:
   150 + 250 = 400
   2(150) + 3(250) = 1050.

   Good Luck

5. Ali  •  May 13, 2010 @8:49 pm
   

   Cindy

   You should take:

   x for adults
   y for student

   we have 400 people in the game, and these people are adults and students. so: x + y = 400

   And, the ticket cost for one adults is $3 and for one student is $2 and the total ticket sales was $1050. so, we have got another equation: 3x + 2y = 1050.

   Take the equation x + y = 400 => x = 400 – y

   Replace the value of x in the second equation:

   3x + 2y = 1050
   3(400 – y) +2y = 1050
   1200 – 3y + 2y = 1050
   -y = 1050 – 1200
   y = 150

   So, there were 150 adult in the game.

   Finally, take x + y = 400.
   Replace the value of y:
   x + 150 = 400
   x = 400 – 150 = 250.

   So, there were 250 students in the game.

   That’s it.

6. xl4000  •  May 14, 2010 @4:10 am
   

   Edna

   Let X represent the number of students
   Let Y represent the number of adults

   X+Y=400
   2X+3Y=1050

   Solve simultaneously

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