SOLUTION: The junior class at Brady High School sponsors the prom. This year’s junior class did not earn enough on fundraising activities to offset the cost, so the junior class members h

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Question 1170743: The junior class at Brady High School sponsors the prom. This year’s junior class did not earn enough on fundraising activities to offset the cost, so the junior class members have agreed to pay a higher ticket price than the seniors. Thus, junior tickets cost $10.50 and senior tickets cost $7.50. Planners expect 560 juniors and seniors to buy tickets. They need to collect $4998 on ticket sales to cover the remaining expenses. Write and solve a system of linear equations to represent the number of junior and senior tickets that were bought for the class to break even.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
J+S=560 person equation
10.50J+7.50 S=4998 money equation
multiply top by -7.5 to eliminate S
-7.50 J-7.50S=-4200. then add to second equation
3J=798
J=266 juniors @$10.50=$2793
S=294 seniors @ 7.50=$2205