A test is worth a total of 150 points and contains 70 questions. Some of the questions are worth 2 points, and some are worth 4 points. Solve your system of equations from part A using elimination. Then, complete the statement.

The test has questions worth 2 points and questions worth 4 points.

65 two-point questions, and 5 four-point questions.

Emma answered 2 four-point questions.

Step-by-step explanation:

1. Assigning variables and writing equations

We will set the number of 2 point questions as "x" and number of 4 point questions as "y"

We know that:

(number of 2 point questions+number of 4 point questions=total number of questions)

(number of points that a two point question is worth*number of two point questions+number of points that a four point question is worth*number of four point questions=total points on test)

2. Combining equations

We will solve one of these equations.

Next, we will substitute the other equation with this solution.

Use this solution to find x.

We found that there are 65 two-point questions, and 5 four-point questions.

3. Finding Emma's test results

In this case, we know how many two-point questions she answered. So, we will only be using one variable in this equation, which is y.

So, she answered 2 questions correctly.

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step-by-step explanation: