document.write( "Question 346006: How many cubic centimeters (cc)of a 25% solution should be added to 10 cubic centimeters of a 60% solution in order to get a 30% solution? \n" ); document.write( "
Algebra.Com's Answer #247403 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! x(0.25)+10(0.6)=(x+10)(0.3)\r \n" ); document.write( "\n" ); document.write( "Since 10(0.6) does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 10(0.6) from both sides. \n" ); document.write( "x(0.25)=-10(0.6)+(x+10)(0.3)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation. \n" ); document.write( "x(0.25)=0.3x-3\r \n" ); document.write( "\n" ); document.write( "Multiply x by each term inside the parentheses. \n" ); document.write( "0.25x=0.3x-3\r \n" ); document.write( "\n" ); document.write( "Since 0.3x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 0.3x from both sides. \n" ); document.write( "0.25x-0.3x=-3\r \n" ); document.write( "\n" ); document.write( "Since 0.25x and -0.3x are like terms, add -0.3x to 0.25x to get -0.05x. \n" ); document.write( "-0.05x=-3\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by -0.05. \n" ); document.write( "-(0.05x)/(-0.05)=-(3)/(-0.05)\r \n" ); document.write( "\n" ); document.write( "Cancel the common factor of -0.05. \n" ); document.write( "x=-(3)/(-0.05)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "x=60 (cubic cenimeters) \n" ); document.write( " |