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?
Let's define the variables:
Let x be the amount of money Deion Sanders made.
Let y be the amount of money Troy Aikman made.
We can create a system of equations with the given information:
1) Troy Aikman earned $0.467 million more than Deion Sanders:
y = x + 0.467
2) Together they cost the Cowboys $12.867 million:
x + y = 12.867
Now we can solve the system of equations to find the values of x and y.
To do this, we can substitute the value of y from equation 1) into equation 2):
x + (x + 0.467) = 12.867
2x + 0.467 = 12.867
2x = 12.867 - 0.467
2x = 12.4
x = 12.4 / 2
x = 6.2
Now we can substitute the value of x into equation 1) to find y:
y = 6.2 + 0.467
y = 6.667
Therefore, Deion Sanders made $6.2 million and Troy Aikman made $6.667 million.