Solving systems of equations word problems worksheet For all problems, define variables, write the system of equations and solve for all variables.
-During the National Football League’s 1999 season, Troy Aikman, the quarterback for the Dallas Cowboys, earned $0.467 million more than Deion Sanders, the Cowboys cornerback. Together they cost the Cowboys $12.867 million. How much did each player make?
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Let's assume that Deion Sanders earned x million dollars during the 1999 season.
According to the problem, Troy Aikman earned $0.467 million more than Deion Sanders. Therefore, Troy Aikman earned (x + 0.467) million dollars.
The total cost of the two players is given as $12.867 million. So, the equation representing the total cost is:
x + (x + 0.467) = 12.867
Simplifying the equation:
2x + 0.467 = 12.867
2x = 12.867 - 0.467
2x = 12.4
x = 12.4/2
x = 6.2
Therefore, Deion Sanders earned 6.2 million dollars during the 1999 season, and Troy Aikman earned 6.2 + 0.467 = 6.667 million dollars.