Jack and Jill campared their results on their last exam.Jack had 40 questions correct and Jill had 50 questions correct.There were 32 questions that they both got correct and 6 questions they both got wrong.How many questions are on the test?
out of n, n-6 were gotten right
so let's find n-6
Jack alone got 40 -32 = 8
Jill alone got 50-32 = 18
so in total alone they got 26
plus they got 32 together
26 + 32 = 58 right total
plus the 6 wrong = 64
To find the total number of questions on the test, you can add the number of questions Jack got correct, the number of questions Jill got correct, and the number of questions they both got correct. Then, you subtract the number of questions they both got wrong.
Total number of questions on the test = (Number of questions Jack got correct) + (Number of questions Jill got correct) - (Number of questions they both got correct)
Total number of questions on the test = 40 + 50 - 32 - 6
Total number of questions on the test = 52
To find out how many questions are on the test, we need to add up the number of questions Jack and Jill got correct individually and the number of questions they both got correct.
Jack got 40 questions correct and Jill got 50 questions correct. When we add these together, the total number of questions they got correct individually is 40 + 50 = 90.
They both got 32 questions correct, so we subtract this from the total number of questions they got correct individually to find out how many questions only one of them got correct: 90 - 32 = 58.
We also know that they both got 6 questions wrong. Since these questions were not included in the total number of questions they got correct, we need to subtract them from the total number of questions they got correct individually: 90 - 6 = 84.
Therefore, the total number of questions on the test is the sum of the questions they got correct individually, the questions they both got correct, and the questions they both got wrong: 84 + 32 + 6 = 122.
Therefore, there are 122 questions on the test.