Q:

A football team is holding practice and is playing a passing game against its own defense. The scoring rules of the game are simple. The offense is given two points if the receiver catches the ball and seven points if someone scores a touchdown. The offense scored points on 20 different plays. What one last key piece of information is definitely needed before we can tell exactly how many catches (C) and touchdowns (T) were recorded in the game. Hint: This correct response is necessary information needed to solve the problem while the other three choices involve facts that may be nice to have but not bits of required information. A. How many points the defense scored during the game B. How many plays resulted in zero points because the defense won the play C. The total number of points scored by the offense during the game D. The total number of plays run during the game

Accepted Solution

A:
The correct answer is Choice C.

We need to know the total number of points scored so we could write a second equation to solve for the two variable.

If we knew the points, we could write the following equations.
C + T = 20
2C + 7T = ????