Final answer:
Lucy got 5/6 of the questions right on her test, equaling 65 correct answers. By setting up a proportion and cross-multiplying, we determined that the total number of questions on the test was 78.
Step-by-step explanation:
To solve this problem, we can set up a proportion. We are told that Lucy got 5/6 of the questions right, which equated to 65 questions. To find the total number of questions on the test, we can express this relationship as follows:
Right Questions / Total Questions = 5/6
Substituting the known value for the right questions we get:
65 / Total Questions = 5/6
Now we can solve for the Total Questions by cross-multiplying:
65 × 6 = 5 × Total Questions
390 = 5 × Total Questions
Next, we divide both sides by 5 to isolate the Total Questions:
Total Questions = 390 / 5
Total Questions = 78
So, the total number of questions on Lucy's test was 78.