A test consists of 20questions. Multiple choice questions earn 4points for a correct answer, and free response questions earn 8points for a correct answer. If the test is out of 100points, how many of each type of question are on the test?

15 multiple choice questions

5 free response questions

Step-by-step explanation:

This is basically a systems of equations word problem.

To solve this, we need to create two equations that represent this scenario. Let's suppose represents the amount of multiple choice questions and represents the amount of free-choice questions.

We can create the following equations:

To solve for m and f, we can use elimination.

Let's multiply the equation by -4.

Great! Now let's add this equation to our first one, .

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Dividing both sides by 4 get us .

So there are 5 free choice questions. To find m, we can substitute inside the equation

So there are 15 multiple choice questions.

Hope this helped!

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16

10 miles

step-by-step explanation: