document.write( "Question 87287: A researcher orders a broth of 8.5% glucose for her lab. However, she needs a stronger broth, one that is 25.9% glucose. Fortunately, she has 26.9 liters of 35.1% glucose broth in the stock room. How much 24.9% glucose broth can she make? \n" ); document.write( "
Algebra.Com's Answer #63285 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A researcher orders a broth of 8.5% glucose for her lab. However, she needs a stronger broth, one that is 25.9% glucose. Fortunately, she has 26.9 liters of 35.1% glucose broth in the stock room. How much 24.9% glucose broth can she make? \n" ); document.write( ": \n" ); document.write( "You write the resulting amt as 25.9% then you write it as 24.9%, I am assuming \n" ); document.write( "that 25.9% is the correct one \n" ); document.write( ": \n" ); document.write( "Let x = amt (liters) of 8.5% broth required \n" ); document.write( ": \n" ); document.write( "The total resulting amt = (x+26.9) liters \n" ); document.write( ": \n" ); document.write( "Put all percents into decimal form \n" ); document.write( ": \n" ); document.write( ".351(26.9) + .085x = .259(x+26.9) \n" ); document.write( ": \n" ); document.write( "9.4419 + .085x = .259x + 6.9671 \n" ); document.write( ": \n" ); document.write( "9.4419 - 6.9671 = .259x - .085x \n" ); document.write( ": \n" ); document.write( "2.4748 = .174x \n" ); document.write( ": \n" ); document.write( "x = 2.4748/.174 \n" ); document.write( ": \n" ); document.write( "x = 14.223 liters of 8.5% stuff \n" ); document.write( "Therefore: \n" ); document.write( "14.223 + 26.9 = 41.123 liters of 25.9% can be made \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution; \n" ); document.write( ": \n" ); document.write( ".351(26.9) + .085(14.223) = .259(41.123) \n" ); document.write( "9.4419 + 1.209 = 10.65 \n" ); document.write( ": \n" ); document.write( "Did this help? If I assumed the wrong percentage, you can use this method, just change 25.9% to 24.9% \n" ); document.write( " |