Let's define variables:
Let A be the amount Troy Aikman earned (in millions)
Let D be the amount Deion Sanders earned (in millions)
From the problem, we know the following information:
1. Troy Aikman earned $0.467 million more than Deion Sanders, so A = D + 0.467
2. The total cost of both players was $12.867 million, so A + D = 12.867
We have a system of equations:
A = D + 0.467
A + D = 12.867
To solve this system, we can use substitution or elimination method. Let's use substitution method by substituting the value of A from the first equation into the second equation:
(D + 0.467) + D = 12.867
2D + 0.467 = 12.867
2D = 12.867 - 0.467
2D = 12.40
D = 12.40/2
D = 6.20 million
Now, substitute the value of D into the first equation to find A:
A = 6.20 + 0.467
A = 6.667 million
So, Troy Aikman earned $6.667 million and Deion Sanders earned $6.20 million.
5. 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?
1 answer