IF JACK AND JILL ARE COMPARING RESULTS OF A MATH TEST AND jACK HAD 40 CORRECT ANSWERS AND JILL HAD 50 CORRECT ANS AND THERE WERE 32 QUESTIONS THEY BOTH GOT RIGHT AND 6 THEY BOTH GOT WRONG. HOW DO I FIND THE NUMBER OF QUESTIONS ON THE TEST?
Here are the things that could have happened:
both right
both wrong
Jack right, Jill wrong
Jill right, Jack wrong.
Now, you figure out each of these, and add them.
To find the number of questions on the test, you can add the number of questions Jack and Jill both answered correctly with the number of questions they both answered incorrectly.
We know that:
- Jack had 40 correct answers.
- Jill had 50 correct answers.
- There were 32 questions they both got right.
- There were 6 questions they both got wrong.
To find the number of questions on the test, let's follow these steps:
Step 1: Find the total number of questions Jack and Jill got right.
- Jack got 40 correct answers.
- Jill got 50 correct answers.
- There were 32 questions they both got right.
- Add the number of questions Jack got right (40) and the number of questions Jill got right (50) minus the overlap (32): 40 + 50 - 32 = 58.
Step 2: Find the total number of questions Jack and Jill got wrong.
- There were 6 questions they both got wrong.
- Subtract the number of questions they both got wrong (6) from the total number of questions they got right (58): 58 - 6 = 52.
Step 3: Calculate the total number of questions on the test.
- Add the total number of questions they got right (58) with the total number of questions they got wrong (52): 58 + 52 = 110.
Therefore, there were 110 questions on the test.