SOLUTION: hey guys! first of all i really appreciate your help. Thank you a bunch! *Grandstand tickets to a baseball game cost $10 and box-seat tickets cost $25. The total amount of sa

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: hey guys! first of all i really appreciate your help. Thank you a bunch! *Grandstand tickets to a baseball game cost $10 and box-seat tickets cost $25. The total amount of sa      Log On

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Question 110655: hey guys! first of all i really appreciate your help. Thank you a bunch!
*Grandstand tickets to a baseball game cost $10 and box-seat tickets cost $25. The total amount of sales was $67,320. Six times as many grandstand tickets as box-seat tickets were sold. How many box-seat tickets and grandstand tickets were sold? Define your variables and write a system of equations that describes this situation. Write your answer in a complete sentence.*
The variables would be: x= grandstand tickets and y= box-seat tickets
and that is all i know!!! so can you please help me out?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
x=+grandstand_+tickets
x =$10
y=+box-seat_+tickets
y =$25
The total amount of sales was $67,320
grandstand_+tickets%2Aprice+%2B+box-seat_+tickets%2Aprice+=67%2C320_dollars
Then
10%2Ax+%2B+25%2Ay+=+67320
Now, we also know that six_+times_+as_+many grandstand tickets as box-seat tickets were sold which means
x=6y……substitute it in previous equation
10%2A6y+%2B+25%2Ay+=+67320

60y+%2B+25y+=+67320
85y+=+67320…...divide both sides by 85
y+=+792...............number of box-seat_+tickets sold
Now find x
x=6y……
x=6%2A792……
x=4752…….............number of grandstand_+tickets sold
Check:

10%2Ax+%2B+25%2Ay+=+67%2C320
10%2A4752+%2B+25%2A792+=+67320
47520+%2B+19800=+67320
67320+=+67320