document.write( "Question 1033508: a student has a x sweet. she gives 20 to her friends. if one-third of the reminder is equal to one-fifth of the original number of sweets, find the original number of sweets \n" ); document.write( "

Algebra.Com's Answer #648136 by josmiceli(19441) $\"\"$ $\"About$

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She gives $\"+20+\"$ to friends
\n" ); document.write( "She has $\"+x+-+20+\"$ left
\n" ); document.write( " $\"+%281%2F3%29%2A%28+x+-+20+%29+=+%281%2F5%29%2Ax+\"$
\n" ); document.write( "Multiply both sides by $\"+15+\"$
\n" ); document.write( " $\"+5%2A%28+x+-+20+%29+=+3x+\"$
\n" ); document.write( " $\"+5x+-+100+=+3x+\"$
\n" ); document.write( " $\"+2x+=+100+\"$
\n" ); document.write( " $\"+x+=+50+\"$
\n" ); document.write( "There were originally 50 sweets
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%281%2F3%29%2A%28+x+-+20+%29+=+%281%2F5%29%2Ax+\"$
\n" ); document.write( " $\"+%281%2F3%29%2A%28+50+-+20+%29+=+%281%2F5%29%2A50+\"$
\n" ); document.write( " $\"+%28+1%2F3+%29%2A30+=+%281%2F5%29%2A50+\"$
\n" ); document.write( " $\"+10+=+10+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );