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Example Solving Word Problems: Using Systems of Linear Equations to solve Tickets word problems.
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What You Enter
There are 34000 people at a ball game. The day's receipts were $240000. How many people paid $12 for reserved seats and how many paid $5 for general admission?
What You Get
Let X = Number of PEOPLE at $5 Let Y = Number of PEOPLE at $12 X + Y = 34000 5X + 12Y = 240000 X = 34000 - Y 5(34000 - Y) + 12Y = 240000 170000 - 5Y + 12Y = 240000 7Y = 70000 Y = 10000 X = 24000
Solution: Y = 10000 and X = 24000
