Final answer:
The answer involves setting up an algebraic equation to find the number of female students registered for an art event, given the total number of students and the difference in quantity between genders. However, the equation reveals an inconsistency suggesting that the initial premise might be incorrect.
Step-by-step explanation:
To solve the problem here are 49 students who registered for an art painting event, we can use a simple algebraic equation. Let's assume that the number of male students is represented by m and the number of female students is f. According to the problem, there are 36 more female students than male students. So, we can write it as f = m + 36. We also know that the total number of students is 49, so we have another equation: m + f = 49. Substituting the first equation into the second, we get: m + (m + 36) = 49. Combining like terms, 2m + 36 = 49. Subtracting 36 from both sides gives us 2m = 13. Dividing both sides by 2 yields m = 6.5. Since we cannot have half a student, this suggests that the premise that there are 36 more female students than male students is incorrect with a total of 49 students. However, assuming it was a valid situation, we would round down to the nearest whole number for male students, which is 6. Then, using this value for m, we would calculate f as f = 6 + 36 = 42. So, if the premise given was possible, there would be 42 female students and 6 male students, but due to the total number not supporting this distribution, another review of the premise would be necessary.