Testing A professor wants to create a test that hastrue-false questions, multiple-choice questions, andessay questions. She wants the test to have 35 questions, with twice as many multiple-choice questionsas essay questions and with twice as many true-falsequestions as multiple-choice questions.a. Write a system of equations to represent this problem.b. How many of each type question should theprofessor put on the test? Note that only positiveinteger answers are useful.

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