Question

Each pupil had to answer 50 questions. 5 points were given for each correct answer and 4 points were deducted for each incorrect answer. Jack answered all 50 questions and he scored 97. How many questions did he answer correctly?​

a. 45
b. 47
c. 48
d. 49
e. 50

Answer 1

Jack answered 33 questions correctly according to our calculations, but this does not match any of the provided multiple-choice options, which suggests there is a mistake in the question or options provided.

Step-by-step explanation:

To determine how many questions Jack answered correctly on a 50-question test when he scored 97 points, we can set up an equation. Let x represent the number of correct answers and 50 - x represent the number of incorrect answers. Each correct answer adds 5 points, and each incorrect answer subtracts 4 points from the total score. Therefore, we have the equation:

5x - 4(50 - x) = 97

Expanding the equation:

5x - 200 + 4x = 97

Combining like terms:

9x - 200 = 97

Adding 200 to both sides:

9x = 297

Dividing by 9:

x = 33

Thus, Jack answered 33 questions correctly. However, in the context of the multiple-choice options provided (a-e), none match the correct answer calculated. This indicates that there might be a typo or mistake in the problem, the options provided, or in the arithmetic calculation. As we cannot choose from the options given, we can conclude that the correct answer is not among the choices provided.