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?

Step by step please

1 answer

Let's define the variables:
Let A be the amount Troy Aikman earned.
Let D be the amount Deion Sanders earned.

We can create two equations based on the given information:
1. A = D + 0.467 (Troy Aikman earned $0.467 million more than Deion Sanders)
2. A + D = 12.867 (Together, they cost the Cowboys $12.867 million)

Now, we can solve the system of equations.

Let's substitute equation 1 into equation 2:
(D + 0.467) + D = 12.867

Combine like terms:
2D + 0.467 = 12.867

Subtract 0.467 from both sides:
2D = 12.867 - 0.467
2D = 12.4

Divide both sides by 2:
D = 12.4 / 2
D = 6.2

Now, substitute the value of D into equation 1 to find A:
A = 6.2 + 0.467
A = 6.667

Therefore, Deion Sanders earned $6.2 million and Troy Aikman earned $6.667 million during the 1999 season.