document.write( "Question 626444: How many ounces of a 15% alcohol solution must be mixed with 4 ounces of a 20% alcohol solution to make a 17% alcohol solution \n" ); document.write( "
Algebra.Com's Answer #394172 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution. \n" ); document.write( "After converting the percentages to their decimal equivalents, set up the necessary equation as follows: \n" ); document.write( "0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x. \n" ); document.write( "0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides. \n" ); document.write( "0.8 = 0.02x+0.68 Now subtract 0.68 from both sides. \n" ); document.write( "0.12 = 0.02x Finally, divide both sides by 0.02 \n" ); document.write( "x = 6 \n" ); document.write( "You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution. \n" ); document.write( " \n" ); document.write( " |