Jaime scored 89 on his test . Questions are worth 5 point or 2 point . There is no partial credit . Suppose jaime answered 37 questions correctly. How many 5 points questions are correct ?

Answer 1

Let's assume x represents the number of 5-point questions Jaime answered correctly.

Since each question is worth either 5 points or 2 points, the total number of questions Jaime answered incorrectly (regardless of the score) is 37 - x.

The total score Jaime received for correctly answering the 5-point questions is 5x.

The total score Jaime received for correctly answering the 2-point questions is 2 * (37 - x).

Given that Jaime's total score is 89, we can write the equation:
5x + 2 * (37 - x) = 89.

Solving this equation:
5x + 74 - 2x = 89,
3x = 89 - 74,
3x = 15.

Dividing both sides by 3, we find:
x = 15 / 3,
x = 5.

Therefore, Jaime answered 5-point questions correctly. Answer: \boxed{5}.