{QUESTION}
A survey is conducted in the 4th and 5th grade of a school about sports.
In 4th grade, 15% of students (males and female) are good, 35% are bad and 50% are indifferent. There are 100 male and 120 female students.
In 5th grade, 25% of students(males and female) are good, 30% are bad and 45% are indifferent. There are 80 male and 100 female students.
Using ANY METHOD of your choice LOGICALLY APPLICABLE, calculate the the total no of males (4th & 5th) good, bad and indifferent each. Find same for females.
{MY ANSWER}
The 2 given data sets do not intersect. Also each problem has no solution. More data is needed. Is this correct?
{BACKGROUND}
My younger bro approached me to help him out with his assignment. He is not very enthusiastic about academics, so, I first lectured him on how math is life and vice versa, taking math seriously and how he should come for me to tutor him. I then went on further about how the problem has an easy solution after first read - I thought it was just simple mixed percentage problem.
However, upon careful analysis I found I could not solve the problem as I cannot derive a sufficient system of equations to satisfy the equation-unknown-root theorem rendering them underdetermined; I then wrote that the equation has no solution and the 2 given data sets do not intersect. So more data is needed.
However, I'm bugged because of the line in the problem suggesting using any logical means, so I just want to know whether I've missed anything.
hint I may be bugged cos it'll really suck to lecture someone about how they should come for tutoring, but couldn't solve a (simple?) problem yourself! So have I missed anything? ;).