Question

A test is worth 80 points. Multiple-choice questions are worth 2 points, and

Answer 1

Answer:

There are 10 multiple-choice questions and 15 short-answer questions in the test

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Test worth 80 points

Multiple-choice questions are worth 2 points

Short-answer questions are worth 4 points

Multiple-choice questions + Short-answer questions = 25

2. How  many multiple-choice questions are there?

Let's solve this problem, this way:

m = Multiple-choice questions

s = Short-answer questions

Our equations system is:

m + s = 25

2m + 4s = 80

Solving for m in the 1st equation:

m + s = 25

m = 25 - s

Substituting m in the 2nd equation and solving for s:

2m + 4s = 80

2 * ( 25 - s) + 4s = 80

50 - 2s + 4s = 80

2s = 80 - 50

2s = 30

s = 30/2 = 15

Substituting s in the 1st equation and solving for m:

m = 25 - 15

m = 10

There are 10 multiple-choice questions and 15 short-answer questions in the test