document.write( "Question 1163227: In a class of 52 students 16 are science students. If 1/3 of the boys and 1/4 of the girls assign students, how many boys are in the class? \n" ); document.write( "
Algebra.Com's Answer #787260 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "The solution from the other tutor is fine....

\n" ); document.write( "Given the way the information is given, I would prefer to use two variables, leading to a solution using elimination.

\n" ); document.write( "The total number of students is 52:
\n" ); document.write( "(1) \"b%2Bg+=+52\"

\n" ); document.write( "The total number of science students is 16:
\n" ); document.write( "(2) \"%281%2F3%29b%2B%281%2F4%29g+=+16\"

\n" ); document.write( "Multiply (2) by 4 and compare to (1):

\n" ); document.write( "\"%284%2F3%29b%2Bg+=+64\"
\n" ); document.write( "\"b%2Bg+=+52\"
\n" ); document.write( "\"%281%2F3%29b+=+12\"
\n" ); document.write( "\"b+=+36\"

\n" ); document.write( "ANSWER: There are 36 boys in the class.

\n" ); document.write( "CHECK:
\n" ); document.write( "36 boys means 16 girls
\n" ); document.write( "(1/3)(36)+(1/4)(16) = 12+4 = 16

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