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.

Question

How much did each player make?

Answer 1

Let \( A \) represent the salary of Troy Aikman, and let \( D \) represent the salary of Deion Sanders. According to the problem, we have the following two equations:

1. \( A = D + 0.467 \)
2. \( A + D = 12.867 \)

Now, we can substitute the first equation into the second equation.

Substituting \( A \) in the second equation:

\[ (D + 0.467) + D = 12.867 \]

This simplifies to:

\[ 2D + 0.467 = 12.867 \]

Next, subtract \( 0.467 \) from both sides:

\[ 2D = 12.867 - 0.467 \]

Calculating the right side:

\[ 2D = 12.4 \]

Now, divide both sides by \( 2 \):

\[ D = 6.2 \]

Now that we have Deion Sanders' salary, we can find Troy Aikman's salary using the first equation:

\[ A = D + 0.467 = 6.2 + 0.467 = 6.667 \]

Thus, the salaries of the two players are:

• Troy Aikman: $6.667 million
• Deion Sanders: $6.200 million