Jack and Jill compared their results on their last math test. Jack had 40 correct answers while Jill had 50 correct answers. There were 32 questions they both had correct and 6 they both had wrong. How many questions were on the test?
To find the total number of questions on the test, we need to add up all the questions that Jack and Jill answered correctly, plus the questions they both got wrong, plus the questions that only one of them got right.
The number of questions Jack got right is 40, and the number Jill got right is 50. However, we need to subtract the 32 questions they both got right, since they were counted twice.
So, the total number of questions they got right is:
40 + 50 - 32 = 58
Next, we need to add the 6 questions they both got wrong:
58 + 6 = 64
Finally, we need to add the questions that only one of them got right. To do this, we can subtract the total number of questions they both got right or wrong from the total number of questions on the test:
64 + 32 + 6 = 102
Therefore, there were 102 questions on the test.