document.write( "Question 1112234: A total of M matches is needed to fill 30 match boxes with the same number of matches in each box.
\n" ); document.write( "(a) How many matches are in each box?
\n" ); document.write( "(b) If each box has three match sticks fewer, there would be enough sticks for 32 boxes,what is the value of m? \n" ); document.write( "

Algebra.Com's Answer #727295 by josmiceli(19441) $\"\"$ $\"About$

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(a)
\n" ); document.write( " $\"+M%2F30+\"$ = the number of matches in each box
\n" ); document.write( "(b)
\n" ); document.write( " $\"+M%2F30+-+3+\"$ = number of matches/box with
\n" ); document.write( "three fewer per box
\n" ); document.write( "----------------------------
\n" ); document.write( "[ matches/box ] x [ number of boxes ] = [ total number of matches ]
\n" ); document.write( " $\"+%28+M%2F30+-+3+%29%2A32+=+M+\"$
\n" ); document.write( " $\"+M%2A%28+32%2F30+%29+-+3%2A32+=+M+\"$
\n" ); document.write( "Multiply both sides by $\"+30+\"$
\n" ); document.write( " $\"+32M+-+96%2A30+=+30M+\"$
\n" ); document.write( " $\"+2M+=+2880+\"$
\n" ); document.write( " $\"+M+=+1440+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+%28+M%2F30+-+3+%29%2A32+=+M+\"$
\n" ); document.write( " $\"+%28+1440%2F30+-+3+%29%2A32+=+1440+%7C\"$
\n" ); document.write( " $\"+%28+48+-+3+%29%2A32+=+1440+\"$
\n" ); document.write( " $\"+45%2A32+=+1440+\"$
\n" ); document.write( " $\"+1440+=+1440+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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