-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

Let's denote Deion Sanders' salary as \( x \) million. According to the problem, Troy Aikman's salary would then be \( x + 0.467 \) million because he earned $0.467 million more than Sanders.

The total salary of both players is given as $12.867 million:

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

Now, simplify the equation:

\[ 2x + 0.467 = 12.867 \]

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

\[ 2x = 12.867 - 0.467 \]

\[ 2x = 12.4 \]

Now, divide both sides by 2 to solve for \( x \):

\[ x = \frac{12.4}{2} = 6.2 \]

So, Deion Sanders earned \( 6.2 \) million dollars. To find Troy Aikman's salary, we substitute \( x \) back into the equation for Aikman's salary:

\[ \text{Troy Aikman's salary} = x + 0.467 = 6.2 + 0.467 = 6.667 \text{ million dollars} \]

Therefore, the final salaries are:

  • Deion Sanders: $6.2 million
  • Troy Aikman: $6.667 million