SOLUTION: In a company, 3/5 of programmers know FORTRAN, 1/6 know COBOL and 1/10 know both. What fraction know neither FORTRAN nor COBOL?

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Question 435435: In a company, 3/5 of programmers know FORTRAN, 1/6 know COBOL and 1/10 know both. What fraction know neither FORTRAN nor COBOL?

Found 2 solutions by jorel1380, solver91311:
Answer by jorel1380(3719) (Show Source):
You can put this solution on YOUR website!
To determine this we take FORTRAN guys plus COBOL guys minus both:
3/5+1/6-1/10=18/30+5/30-3/30
"""""""""=20/30 know either FORTRAN or COBOL, or both. Therefore 10/30, or 1/3 know neither.

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

The that know COBOL include the that know both COBOL and FORTRAN. So is the fraction that ONLY knows COBOL.

The that know FORTRAN include the that know both COBOL and FORTRAN. So is the fraction that ONLY knows FORTRAN

The sum is the fraction that knows one, the other, or both. That means the fraction that knows neither is

John

My calculator said it, I believe it, that settles it