Question

4. Ms. Bragg is giving a test worth 100 points. The test contains a total of 40 questions. Some questions are worth 2 points and some questions are worth 4 points on the test. Write a system of equations to determine how many of each type of question are on the test. A) Define your variables. You can use any letters you want) B) Write your system of equations. (There should be 2 separate equations)​

Answer 1

9514 1404 393

Explanation:

A)

Let t and f represent the numbers of two-point and four-point questions, respectively.

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B) The number of points for each type of question is the product of the point-value per question and the number of questions of that type.

  2t + 4f = 100 . . . . . the test is worth 100 points

  t + f = 40 . . . . . . . . there are 40 questions on the test

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Additional comment

The test will have 30 two-point questions and 10 four-point questions.