document.write( "Question 75045: How many ounces of a 15% saline solution must be added to 30 ounces of a 5% saline to make a 10% saline solution? \n" ); document.write( "
Algebra.Com's Answer #53888 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let x = the required number of ounces of 15% saline solution. \n" ); document.write( "Change the percentages to their decimal equivalents: \n" ); document.write( "15% = 0.15 \n" ); document.write( "5% = 0.05 \n" ); document.write( "10% = 0.1 \n" ); document.write( "From the problem description, you can write: \n" ); document.write( "(0.15)x + (0.05)(30) = (0.1)(x+30) Simplify and solve for x. \n" ); document.write( "0.15x+1.5 = 0.1x+3 Combining like-terms, you subtract 0.1x from both sides. \n" ); document.write( "0.05x+1.5 = 3 Now subtract 1.5 from both sides. \n" ); document.write( "0.05x = 1.5 Finally, you divide both sides by 0.05 \n" ); document.write( "x = 30 \n" ); document.write( "You will need to add 30 ounces of a 15% saline solution to 30 ounces of a 5% saline solution to obtain 60 ounces of a 10% saline solution. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |