A test has twenty 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? (3 points. 1 point for setting up a correct system of equation, 1 point for the work, 1 point for the correct solution.)

Accepted Solution

Answer:t+m=20--------> t=20-m3t+11m=100Substitute3(20-m)+m=10060m-3m+11m=100Get rid of 60 -3m+11m=408m=40Divide by 8m=5This tells us that there are 5 Multiple Choice questions. So the remaining 15 question on the test must be True/False questions.If we got all 5 Multiple Choice questions correct we would score 11 points for each of the five questions and this would give us 55 points. Then if we got all 15 True/False questions correct at 3 points each, we would score 15 times 3 or 45 points. So the total number of points on the test would be 55 + 45 = 100.Step-by-step explanation: