A test has 20 questions worth 100 points. The test consists of true/false questions worth 3 points each and multiple-choice questions worth 11 points each. How many multiple-choice questions are on the test?

A. 10 multiple-choice, 10 true/false
B. 7 multiple-choice, 13 true/false
C. 2 multiple-choice, 18 true/false
D. 5 multiple-choice, 15 true/false

answer is D) 5 mc, 15 t&f you have two unknown variables, thus you need two equations
definitions: a = quantity of multiple choice questions b = quantity of true and false questions
100 points = a 11 points/question + b 3 points/question 20 questions = a +b
using 2nd equation, find equation for 'a': a = 20 - b
substitute this equation for 'a' into 1st equation: 100 = 11a + 3b 100 = 11(20 - b) + 3b 100 = 220 - 11b + 3b 100 - 220 = -8b -120 = -8b -120/-8 = b 15 = b
resolve 2nd equation now knowing value of 'b': a = 20 - b a = 20 - 15 a = 5
verify solution is correct by substituting values into first equation 11a + 3b = 100 11(5) + 3(15) = 100 55 + 45 = 100 100 = 100 [OK]
verify solution is correct by substituting values into second equation a + b = 20 5 + 15 = 20 20 = 20 [OK]

Answered by Anonymous | 2024-06-10

There are 5 multiple-choice questions on the test. ;

Answered by ElvisAaronPresley | 2024-06-18

There are 5 multiple-choice questions and 15 true/false questions on the test. The equations used to find these values were based on the total number of questions and total points. Therefore, the correct answer is D.
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Answered by Anonymous | 2024-12-08