Chapter 1.2, Problem 60SR

To determine

To find: the number of points the knightsscored than the Panthers

Answer to Problem 60SR

Knights scored 13 points more than the Panthers

Explanation of Solution

Given:

  

Calculation:

Every win is worth 3 points, tie is worth 1 point and loss is worth 0 point.

Now, for any team with x wins and y ties,

Since 1 win = 3 points

Therefore, x wins = $3x$ points

Since 1 tie = 1 points

Therefore, y ties = y points

The expression for the total points of a team is given by:

  $3x+y$

Since, from the table, Knights won 14 matches and 7 matches were tie.

Thus, to find points of wildcats, substitute $x=14$ and $y=7$ in the above expression.

  $3x+y=3\times 14+7$

Since, the expression $3\times 14+7$ , has two operations addition and multiplication, so multiply first and then add.

  $\begin{array}{l}3\times 14+7=42+7\hfill \\ =49\hfill \end{array}$

Thus, Knights scored 49 points.

Since, from the table, Panthers won 10 matches and 6 matches were tie.

Thus to find points of wildcats, substitute $x=10$ and $y=6$ in the above expression

  $3x+y=3\times 10+6$

Since, the expression $3\times 10+6$ have two operations addition and multiplication, so multiply first and then add.

  $\begin{array}{l}3\times 10+6=30+6\hfill \\ =36\hfill \end{array}$

Thus, Panthers scored 36 points.

To find how many more points do Knights scored than the Panthers, subtract Panthers points from the Knights points.

  $49-36=13$

Conclusion:

Thus, Knights scored 13 points more than the Panthers