document.write( "Question 1025535: A petroleum company has two different sources of crude oil. The first source provides crude oil that is 25% hydrocarbons, and the second one provides crude oil that is 75% hydrocarbons. In order to obtain 80 gallons of crude oil that is 65% hydrocarbons, how many gallons of crude oil must be used from each of the two sources? \n" ); document.write( "
Algebra.Com's Answer #640946 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = gallons of 25% crude needed
\n" ); document.write( "Let \"+b+\" = gallons of 75% crude needed
\n" ); document.write( "------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+80+\"
\n" ); document.write( "(2) \"+%28+.25a+%2B+.75b+%29+%2F+80+=+.65+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) \"+.25a+%2B+.75b+=+.65%2A80+\"
\n" ); document.write( "(2) \"+.25a+%2B+.75b+=+52+\"
\n" ); document.write( "(2) \"+25a+%2B+75b+=+5200+\"
\n" ); document.write( "(2) \"+a+%2B+3b+=+208+\"
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+a+%2B+3b+=+208+\"
\n" ); document.write( "(1) \"+-a+-+b+=+-80+\"
\n" ); document.write( "-------------------
\n" ); document.write( "\"+2b+=+128+\"
\n" ); document.write( "\"+b+=+64+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+80+\"
\n" ); document.write( "(1) \"+a+=+16+\"
\n" ); document.write( "------------------
\n" ); document.write( "16 gallons of 25% crude is needed
\n" ); document.write( "64 gallons of 75% crude is needed
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.25%2A16+%2B+.75%2A64+%29+%2F+80+=+.65+\"
\n" ); document.write( "(2) \"+%28+4+%2B+48+%29+%2F+80+=+.65+\"
\n" ); document.write( "(2) \"+52%2F80+=+.65+\"
\n" ); document.write( "(2) \"+52+=+.65%2A80+\"
\n" ); document.write( "(2) \"+52+=+52+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );