Question

Mrs. Miller is giving a 64 question test that is made up of 2-point and 4-point questions. The entire test is worth 196 points. Write an equation to represent the number of equations

Answer 1

x + y = 64

2x + 4y = 196

Explanation:

Let's use variables to represent the number of 2-point questions and 4-point questions:

Let:

x be the number of 2-point questions.

y be the number of 4-point questions.

Now, you know that the total number of questions is 64, so you can write the equation:

x + y = 64

Additionally, the entire test is worth 196 points. Each 2-point question contributes 2 points, and each 4-point question contributes 4 points. Therefore, you can write another equation for the total points:

2x + 4y = 196

So, the system of equations to represent the number of questions and their total points is:

x + y = 64

2x + 4y = 196