document.write( "Question 530337: How many gallons of a 60% antifreeze solution must be mixed with 70 gallons of 25% antifreeze to get a mixture that is 50% antifreeze?\r
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document.write( "I don't have the first clue on how to figure this out. Can you please explain this process? \n" );
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Algebra.Com's Answer #350007 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let x = the required number of gallons of the 60% antifreeze solution. \n" ); document.write( "You can represent the amount of antifreeze in the solution as follows: \n" ); document.write( "Change the percentages to their decimal equivalents: 60% = 0.6, 25% = 0.25, and 50% = 0.5 \n" ); document.write( "For example, the amount of antifreeze in 70 gallons of 25% antifreeze solution = 0.25(70) = 17.5 gallons. \n" ); document.write( "0.6x+0.25(70) = 0.5(70+x) Simplify. \n" ); document.write( "0.6x+17.5 = 35+0.5x Subtract 0.5x from both sides. \n" ); document.write( "0.1x+17.5 = 35 Subtract 17.5 from both sides. \n" ); document.write( "0.1x = 17.5 Divide by 0.1 \n" ); document.write( "x = 175 gallons \n" ); document.write( " |