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?
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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.3: Solving Problems With Two Variables
Problem 6OE
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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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