(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?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 4CC
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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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