document.write( "Question 1196702: Mike wants to make 10 ml of a 69% sugar solution by mixing together a 25% sugar solution and a 80% sugar solution. How much of each solution must he use? \n" ); document.write( "
Algebra.Com's Answer #829658 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "I'll use the Alligation method as described on slide 6 from this link here \n" ); document.write( "https://www.slideserve.com/lixue/alligation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The target is 69%\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The gap from 25% to the target is 69-25 = 44 \n" ); document.write( "The gap from 80% to the target is 80-69 = 11\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The ratio 44:11 reduces to 4:1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We'll need 4 times as much of the 80% solution compared to the 25% solution\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = amount of 25% solution \n" ); document.write( "4x = amount of 80% solution \n" ); document.write( "x+4x = 10 mL of solution total \n" ); document.write( "5x = 10 \n" ); document.write( "x = 10/5 \n" ); document.write( "x = 2 \n" ); document.write( "10-x = 10-2 = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answers: \n" ); document.write( "2 mL of the 25% solution \n" ); document.write( "8 mL of the 80% solution \n" ); document.write( " \n" ); document.write( " |