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?
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter5: Systems Of Linear Equations
Section5.5: Solve Mixture Applications With Systems Of Equations
Problem 5.98TI: Translate to a system of equations and solve: Julius invested $7,000 into two stock investments. One...
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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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