document.write( "Question 1029418: Lance ́s sandwich shop sold 4 kinds of sandwiches yesterday. For every bologna sandwich 3 turkey sandwiches were sold. For every turkey sandwich sold 1.5 ham sandwiches were sold. 30 roast beef sandwiches were sold. If only whole sandwiches were sold and bologna sandwiches made up 10% of the total number of sandwiches sold, how many bologna sandwiches were sold? \n" ); document.write( "
Algebra.Com's Answer #644481 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = number of bologna sandwiches sold
\n" ); document.write( "Let \"+b+\" = number of turkey sandwiches sold
\n" ); document.write( "Let \"+c+\" = number of ham sandwiches sold
\n" ); document.write( "\"+30+\" = number of roast beef sandwiches sold
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "(1) \"+a%2Fb+=+1%2F3+\"
\n" ); document.write( "(2) \"+b%2Fc+=+2%2F3+\"
\n" ); document.write( "(3) \"+a+=+%281%2F10%29%2A%28+a+%2B+b+%2B+c+%2B+30+%29+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(3) \"+10a+=+a+%2B+b+%2B+c+%2B+30+\"
\n" ); document.write( "(3) \"+9a+-+b+-+c+=+30+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+=+%281%2F3%29%2Ab+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+c+=+%283%2F2%29%2Ab+\"
\n" ); document.write( "-------------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(3) \"+9%2A%281%2F3%29%2Ab+-+b+-+%283%2F2%29%2Ab+=+30+\"
\n" ); document.write( "(3) \"+3b+-+b+-+%283%2F2%29_%2Ab+=+30+\"
\n" ); document.write( "(3) \"+b%2A%28+6%2F2+-+2%2F2+-+3%2F2+%29+=+30+\"
\n" ); document.write( "(3) \"+b%2A%28+1%2F2+%29+=+30+\"
\n" ); document.write( "(3) \"+b+=+60+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+=+%281%2F3%29%2Ab+\"
\n" ); document.write( "(1) \"+a+=+%281%2F3%29%2A60+\"
\n" ); document.write( "(1) \"+a+=+20+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+c+=+%283%2F2%29%2Ab+\"
\n" ); document.write( "(2) \"+c+=+%283%2F2%29%2A60+\"
\n" ); document.write( "(2) \"+c+=+90+\"
\n" ); document.write( "------------------
\n" ); document.write( "20 bologna sandwiches were sold
\n" ); document.write( "------------
\n" ); document.write( "check answer:
\n" ); document.write( "(3) \"+a+=+%281%2F10%29%2A%28+a+%2B+b+%2B+c+%2B+30+%29+\"
\n" ); document.write( "(3) \"+a+=+%281%2F10%29%2A%28+20+%2B+60+%2B+90+%2B+30+%29+\"
\n" ); document.write( "(3) \"+a+=+200%2F10+\"
\n" ); document.write( "(3) \"+a+=+20+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );