document.write( "Question 861356: I need explanation and solution:
\n" ); document.write( "A store divides 112 kilograms of potatoes into 3 kilogram and 2 kilogram bags. If the store ends up with twice as many 2 kilogram bags as 3 kilogram bags, find how many bags of each type the store starts with.
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Algebra.Com's Answer #518973 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = number of 3 kg bags used
\n" ); document.write( "Let \"+b+\" = number of 2 kg bags used
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\n" ); document.write( "(1) \"+3a+%2B+2b+=+112+\"
\n" ); document.write( "(2) \"+b+=+2a+\"
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\n" ); document.write( "By substitution:
\n" ); document.write( "(1) \"+3a+%2B+2%2A%28+2a+%29+=+112+\"
\n" ); document.write( "(1) \"+7a+=+112+\"
\n" ); document.write( "(1) \"+a+=+16+\"
\n" ); document.write( "and, since
\n" ); document.write( "(2) \"+b+=+2a+\"
\n" ); document.write( "(2) \"+b+=+32+\"
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\n" ); document.write( "There are 16 of the 3 kg bags and
\n" ); document.write( "32 of the 2 kg bags\r
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