
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=3×14+7
Since, the expression 3×14+7 , has two operations addition and multiplication, so multiply first and then add.
3×14+7=42+7=49
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=3×10+6
Since, the expression 3×10+6 have two operations addition and multiplication, so multiply first and then add.
3×10+6=30+6=36
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
Chapter 1 Solutions
Pre-Algebra Student Edition
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