Continued from the exercise "Monsters Football League + Simultaneous Equations".
In the Monsters Football League, a touchdown isn't worth 6 + 1 points and a field goal isn't worth 3 points. There is no kick for points after a touchdown.
Sounds good so far. But Johnny Worthington III knows Sulley is a great kicker, so he wants a new set of rules where field goals count for less.
Worthington claims he has a new scoring system, where each touchdown would be worth x points and each field goal would be worth y points. He says he has used his new system in 2 previous matches where the results are:
4 touchdowns and 3 field goals, leading to 46 points
3 touchdowns and 5 field goals, leading to 40 points
In Worthington's new scoring system, how many points is each touchdown and field goal worth? Hint: model this situation with a pair of simultaneous equations involving x
Each touchdown is worth
Each field goal is worth
Aligned with Common Core:
8.EE.8 - Analyze and solve pairs of simultaneous linear equations.
Let's get you some help in modeling one of the linear equations.
Look at match #1. 4 touchdowns and 3 field goals lead to 46 points, so we can write the following:
4x + 3y = 46
Where x is the number of points per touchdown and y is the number of points per field goal.