(3) An instructor wants to create a test that has true-false questions, multiple-choice questions, and essay questions. He wants the test to have 35 questions, with twice as many multiple-choice questions as essay questions and with twice as many true-false questions as multiple-choice questions. (i). Write a system of equations to represent this problem. (ii). Hence or otherwise, determine how many of each type of question should the instructor put on the test?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
Problem 4CC: For a system of two linear equations in two variables, aHow many solutions are possible? bWhat is...
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(3) An instructor wants to create a test that has true-false questions, multiple-choice questions,
and essay questions. He wants the test to have 35 questions, with twice as many multiple-choice
questions as essay questions and with twice as many true-false questions as multiple-choice
questions.
(i). Write a system of equations to represent this problem.
(ii). Hence or otherwise, determine how many of each type of question should the
instructor put on the test?
Transcribed Image Text:(3) An instructor wants to create a test that has true-false questions, multiple-choice questions, and essay questions. He wants the test to have 35 questions, with twice as many multiple-choice questions as essay questions and with twice as many true-false questions as multiple-choice questions. (i). Write a system of equations to represent this problem. (ii). Hence or otherwise, determine how many of each type of question should the instructor put on the test?
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