document.write( "Question 258552: A photographer is mixing 2 liters of a 10% acetic acid solution with a 5% solution to get a 7% solution. How many liters of the 5% solution should he add? \n" ); document.write( "
Algebra.Com's Answer #190357 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! This is a mixture problem. Here is the table based on the given information: \n" ); document.write( "ACID . . . . . . . .% . . . . . . . . .LITER . . . . . . . . . % x Liter \n" ); document.write( "10% . . . . . . . . .10 . . . . . . . .. 2 . . . . . . . . . . . .20 \n" ); document.write( "5% . . . . . .. . . . .5 . . . . . . . . .x . . . . . . . .. . . . . 5x \n" ); document.write( "MIX . . . . . . . . . .7 . . . . . . . . x+2 . . . . . .. . . . . .7x + 14 \n" ); document.write( "we don't know the 5%, so call it x. The total liters is the sum of these two, or x + 2. \n" ); document.write( "Now we have the last column as \n" ); document.write( "20 + 5x = 7x + 14 \n" ); document.write( "solving for x, we get \n" ); document.write( "6 = 2x \n" ); document.write( "3 = x \n" ); document.write( "We need 3 liters of the 5% solution. \n" ); document.write( " |