how to i solve this problem asked previously unsatisfied with ans. Jack and Jill copared results on math test. Jack had 40 correct ans & Jill had 50 correct ans. There were 32 questions they both had correct and 6 they both had wrong. How do I determine how many questions were on the test?

total number of questions

= 40+50-32+6
= 64

Work (correct or not) Courtesy of Dorian W

Consider this argument:

(40-32) + (50-32) + 6 + 32 = y (y being the number of questions) (their results must minus the 32 first in order to get the number of questions they got correct, but not together)
8 + 18 + 6 + 32 = y
y = 64 questions

To determine how many questions were on the test, you can follow these steps:

1. Start by adding the number of questions that Jack and Jill both answered correctly (32) to the number of questions they both answered incorrectly (6). This gives us a total of 38 questions that they both attempted (correct + incorrect = total attempted).

2. Subtract the total number of questions that they both attempted (38) from the total number of questions Jack answered correctly (40). This will give us the number of questions that only Jack attempted and answered correctly. So, 40 - 38 = 2.

3. Subtract the number of questions that only Jack attempted and answered correctly (2) from the total number of questions Jill answered correctly (50). This will give us the number of questions that only Jill attempted and answered correctly. So, 50 - 2 = 48.

4. Finally, add the number of questions that both Jack and Jill attempted (38) with the number of questions that only Jill attempted and answered correctly (48). This will give us the total number of questions on the test. So, 38 + 48 = 86.

Therefore, the total number of questions on the test is 86.