document.write( "Question 1154071: Phillip has $1,560 in 20-dollar, 50-dollar and 100-dollar bills. If he has twice as many 100-dollar bills as 50-dollar bills,and twice as many 50-dollar bills as 20-dollar bills, how many bills does Phillip have in total? \n" ); document.write( "
Algebra.Com's Answer #776435 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = number of $20 bills
\n" ); document.write( "Let \"+b+\" = number of $50 bills
\n" ); document.write( "Let \"+c+\" = number of $100 bills
\n" ); document.write( "----------------------------------------
\n" ); document.write( "(1) \"+20a+%2B+50b+%2B+100c+=+1560+\"
\n" ); document.write( "(2) \"+c+=+2b+\"
\n" ); document.write( "(3) \"+b+=+2a+\"
\n" ); document.write( "----------------------
\n" ); document.write( "There are 3 equations & 3 unknowns, so
\n" ); document.write( "it's solvable
\n" ); document.write( "(3) \"+a+=+%281%2F2%29%2Ab+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+20a+%2B+50b+%2B+100c+=+1560+\"
\n" ); document.write( "(1) \"+20%2A%281%2F2%29%2Ab+%2B+50b+%2B+100%2A2b+=+1560+\"
\n" ); document.write( "(1) \"+10b+%2B+50b+%2B+200b+=+1560+\"
\n" ); document.write( "(1) \"+260b+=+1560+\"
\n" ); document.write( "(1) \"+b+=+6+\"
\n" ); document.write( "---------------------
\n" ); document.write( "(3) \"+a+=+%281%2F2%29%2Ab+\"
\n" ); document.write( "(3) \"+a+=+%281%2F2%29%2A6+\"
\n" ); document.write( "(3) \"+a+=+3+\"
\n" ); document.write( "---------------------
\n" ); document.write( "(2) \"+c+=+2b+\"
\n" ); document.write( "(2) \"+c+=+2%2A6+\"
\n" ); document.write( "(2) \"+c+=+12+\"
\n" ); document.write( "---------------------
\n" ); document.write( "\"+a+%2B+b+%2B+c+=+3+%2B+6+%2B+12+\"
\n" ); document.write( "\"+a+%2B+b+%2B+c+=+21+\"
\n" ); document.write( "Philip has 21 bills
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+20a+%2B+50b+%2B+100c+=+1560+\"
\n" ); document.write( "(1) \"+20%2A3+%2B+50%2A6+%2B+100%2A12+=+1560+\"
\n" ); document.write( "(1) \"+60+%2B+300+%2B+1200+=+1560+\"
\n" ); document.write( "(1) \"+1560+=+1560+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );