document.write( "Question 1070113: In a survey of 150 students,90 were taking algebra and 30 were talking biology .
\n" ); document.write( "A. What is the least number of students who could have been taking both courses?
\n" ); document.write( "B. What is the greatest number of students who could be taking both courses?
\n" ); document.write( "C. What is the greatest number of students who could have been taking neither course? \n" ); document.write( "

Algebra.Com's Answer #685212 by Edwin McCravy(20065) $\"\"$ $\"About$

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In a survey of 150 students,90 were taking algebra and 30 were
\n" ); document.write( "taking biology.
\n" ); document.write( "A. What is the least number of students who could have been
\n" ); document.write( "taking both courses?

We see if it could be 0, none at all.  Then none of the 90 algebra \r\n" );
document.write( "students were taking biology and none of the biology students were \r\n" );
document.write( "taking algebra. That's possible with 90 taking only algebra, 30 \r\n" );
document.write( "taking only biology, and the other 30 taking neither. \r\n" );
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document.write( "Answer: 0, none at all.

B. What is the greatest number of students who could be taking both
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We see if it could be 30, with all of the biology students taking \r\n" );
document.write( "algebra.  That's possible with 30 taking both, 60 taking only \r\n" );
document.write( "algebra, and the other 60 taking neither.\r\n" );
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document.write( "Answer: 30

C. What is the greatest number of students who could have been
\n" ); document.write( "taking neither?

That's the same case as part B, since to have the greatest number \r\n" );
document.write( "taking neither would be the case with the least number were taking \r\n" );
document.write( "one or the other,  which would be the case when there were no \r\n" );
document.write( "biology-only students.\r\n" );
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document.write( "Answer: 60  \r\n" );
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document.write( "Note: there was no part D, but if there had been it would have been:

D. What is the least number of students who could have been
\n" ); document.write( "taking neither?

That would have been the same case as part A, with no students taking\r\n" );
document.write( "both.\r\n" );
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document.write( "Answer: 30\r\n" );
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document.write( "Edwin

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