Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-During an intramural basketball game, Team A scored 16 fewer points than Team B. Together, both teams scored a total of 150 points. How many points did Team A score during the game?
A) 68 points
B) 83 points
C) 67 points
D) 75 points

Question

Quizplus · Accepted Answer

Let x be the number of points scored by Team B. Then, the number of points scored by Team A is x - 16. Together, both teams scored 150 points, so we can set up the equation: x + (x-16) = 150. Solving for x, we get x = 83. Therefore, Team A scored x-16 = 67 points. Let X be the number of points Team B scored.
Then, Team A scored X - 16 points.
The total number of points both teams scored is 150, so:

X + (X - 16) = 150
2X - 16 = 150
2X = 166
X = 83

Therefore, Team A scored X - 16 = 83 - 16 = 67 points.

The correct answer choice is C, 67 points.

Set Up an Equation That Can Be Used to Solve