document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765254>Question 765254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4) Natalie has a brand of peanut oil, which has 30% oil. Stephanie has a brand of olive oil, which has 70% oil. Natalie and Stephanie combined their oils and made 1 5/12 quarts of a new oil called nutlive oil. if the nutlive oil contains 51 3/17% oil, how many quarts of olive oil did they use?\r<BR>\n" );
document.write( "\n" );
document.write( " 1) Michael works at EdHelper Juice company which makes fruit juice. The company's most popular fruit juice contains 11% of real fruit juice and 89% of non-fruit juice. How much of non-fruit juice should be added to 11 liters of fruit juice to make the popular fruit juice?\r<BR>\n" );
document.write( "\n" );
document.write( " 4) Jacob has three liters of 80% acid. How much acid should he add to make a solution that is 85% acid? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466028 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=466028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4) Natalie has a brand of peanut oil, which has 30% oil. <BR>\n" );
document.write( "Stephanie has a brand of olive oil, which has 70% oil. <BR>\n" );
document.write( "Natalie and Stephanie combined their oils and made 1 5/12 quarts of a new oil called nutlive oil. <BR>\n" );
document.write( "if the nutlive oil contains 51 3/17% oil, how many quarts <BR>\n" );
document.write( "of olive oil did they use?<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "51 3/17% = 0.5118<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "oil + oil = oil<BR>\n" );
document.write( "0.30x + 0.70(17/12) = 0.5118(x+ 1.4167)<BR>\n" );
document.write( "Multiply thru by 10,000 to get:<BR>\n" );
document.write( "3000x + 9916.9 = 5118x + 7251<BR>\n" );
document.write( "2118x = 2665.9<BR>\n" );
document.write( "x = 1.2587 quarts (# of quarts of olive oil needed)<BR>\n" );
document.write( "--------------------------------------------------------<BR>\n" );
document.write( " <BR>\n" );
document.write( "1) Michael works at EdHelper Juice company which makes fruit juice. The company's most popular fruit juice contains 11% of real fruit juice and 89% of non-fruit juice. How much of non-fruit juice should be added to 11 liters of fruit juice to make the popular fruit juice? <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "fruit + fruit = fruit<BR>\n" );
document.write( "1*11 + 0*x = 0.11(11+x)<BR>\n" );
document.write( "Multiply thru by 100 to get:<BR>\n" );
document.write( "100*11 + 0 = 11*11 + 11x<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "11x = 89*11<BR>\n" );
document.write( "x = 89 liters (amt. of non-fruit to add)<BR>\n" );
document.write( "===================\r<BR>\n" );
document.write( "\n" );
document.write( "4) Jacob has three liters of 80% acid. How much acid should he add to make a solution that is 85% acid?<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "acid + acid = acid<BR>\n" );
document.write( "0.80*3 + 1.00x = 0.85(3+x)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "80*3 + 100x = 85*3 + 85x<BR>\n" );
document.write( "15x = 5*3<BR>\n" );
document.write( "x = 1 liter (amt. of pure acid to add)<BR>\n" );
document.write( "============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );