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Algebra Applications: Using Systems of Linear Equations to solve Tickets word problems.

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What You Enter

A dealer sold 200 tennis racquets. Some were sold at $18 each and the rest were sold at $33 each. The total receipts from thse sales were $4800. How many racquets did he sell at $18?

What You Get
Let X = Number of TENNIS at $18
Let Y = Number of TENNIS at $33
 
X + Y = 200
18X + 33Y = 4800
 
X = 200 - Y
 
18(200 - Y) + 33Y = 4800
3600 - 18Y + 33Y = 4800
 
15Y = 1200
 
Y = 80
 
X = 120
	
Solution: X = 120

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