document.write( "Question 769326: Alloy A is composed of 3 parts gold and 1 part silver. Alloy B is composed 1 part gold and 3 part silver . When combined the alloy mixture has 15 g of gold and 9 g of silver. How many grams does each alloy weight? \n" ); document.write( "
Algebra.Com's Answer #468794 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = total grams of alloy A
\n" ); document.write( "Let \"+b+\" = total grams of alloy B
\n" ); document.write( "(1) \"+a+%2B+b+=+15+%2B+9+\"
\n" ); document.write( "(1) \"+a+%2B+b+=+24+\"
\n" ); document.write( "(2) \"+%283%2F4%29%2Aa+%2B+%281%2F4%29%2Ab+=+15+\"
\n" ); document.write( "(3) \"+%28+1%2F4%29%2Aa+%2B+%283%2F4%29%2Ab+=+9+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) \"+3a+%2B+b+=+60+\"
\n" ); document.write( "(3) \"+a+%2B+3b+=+36+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+3a+%2B+b+=+60+\"
\n" ); document.write( "(1) \"+-a+-+b+=+-24+\"
\n" ); document.write( "\"+2a+=+36+\"
\n" ); document.write( "\"+a+=+18+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+a+%2B+3b+=+36+\"
\n" ); document.write( "(3) \"+18+%2B+3b+=+36+\"
\n" ); document.write( "(3) \"+3b+=+18+\"
\n" ); document.write( "(3) \"+b+=+6+\"
\n" ); document.write( "Alloy A weighs 18 g
\n" ); document.write( "Alloy B weighs 6 g
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+a+%2B+b+=+24+\"
\n" ); document.write( "(1) \"+18+%2B+6+=+24+\"
\n" ); document.write( "(1) \"+24+=+24+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );