document.write( "Question 646645: In a class,2/3 of the students are wearing black shoes and 1/4 wears brown shoes.If 4 of them wear neither black nor brown shoes,how many students are there in the class? \n" ); document.write( "

Algebra.Com's Answer #405903 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+s+\"$ = the number of students in the class
\n" ); document.write( "given:
\n" ); document.write( " $\"+s+-+%282%2F3%29%2As+-+%281%2F4%29%2As+=+4+\"$
\n" ); document.write( " $\"+s%2A%28+1+-+2%2F3+-+1%2F4+%29+=+4+\"$
\n" ); document.write( " $\"+s%2A%28+12%2F12+-+8%2F12+-+3%2F12+%29+=+4+\"$
\n" ); document.write( " $\"+%28s%2F12%29%2A%28+12+-+8+-+3+%29+=+4+\"$
\n" ); document.write( "Multiply both sides by $\"+12+\"$
\n" ); document.write( " $\"+s%2A%28+12+-+11+%29+=+48+\"$
\n" ); document.write( " $\"+s+=+48+\"$
\n" ); document.write( "There are 48 students in the class
\n" ); document.write( "check:
\n" ); document.write( " $\"+s+-+%282%2F3%29%2As+-+%281%2F4%29%2As+=+4+\"$
\n" ); document.write( " $\"+48+-+%282%2F3%29%2A48+-+%281%2F4%29%2A48+=+4+\"$
\n" ); document.write( " $\"+48+-+32+-+12+=+4+\"$
\n" ); document.write( " $\"+48+-+44+-+4+\"$
\n" ); document.write( " $\"+4+=+4+\"$
\n" ); document.write( "OK \n" ); document.write( "

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