Final answer:
To find the total number of questions on the test, we need to determine the ratio between the multiple-choice questions and the essay questions. The ratio is 5:2, and by setting up a proportion and solving it, we find that there are 15 multiple-choice questions. Adding the essay questions gives us a total of 21 questions on the test.
Step-by-step explanation:
To find the total number of questions on the test, we need to first determine the ratio between the multiple-choice questions and the essay questions. In this case, the ratio is 5:2. Since the ratio is equivalent to 5 parts multiple-choice questions to 2 parts essay questions, we can set up a proportion. Let x represent the number of multiple-choice questions. Then, we can set up the following equation: (5/2) = x/6. Cross-multiply and solve for x:
5(6) = 2x
30 = 2x
x = 15
So, the number of multiple-choice questions on the test is 15. To find the total number of questions, we add the number of multiple-choice questions and the number of essay questions. 15 + 6 = 21. Therefore, the total number of questions on the test is 21.