document.write( "Question 1142037: Sarah has 16 pounds of soup that is 1/4 chicken broth. How much chicken broth must she add to increase the chicken broth content to 1/3 ? \n" ); document.write( "
Algebra.Com's Answer #762697 by VFBundy(438)![]() ![]() You can put this solution on YOUR website! Broth/soup = 1/4. We are given the soup is 16 lbs., so to get 1/4 broth, that means the broth must be 4 lbs. (Because broth/soup = 4/16 = 1/4.) \n" ); document.write( " \n" ); document.write( "To find out how much broth we must add to get a soup that is 1/3 broth: \n" ); document.write( " \n" ); document.write( "Broth/soup = (4+x)/(16+x) = 1/3 \n" ); document.write( " \n" ); document.write( "Cross-multiply: \n" ); document.write( "3(4+x) = 1(16+x) \n" ); document.write( " \n" ); document.write( "12 + 3x = 16 + x \n" ); document.write( " \n" ); document.write( "2x = 4 \n" ); document.write( " \n" ); document.write( "x = 2 \n" ); document.write( " \n" ); document.write( "Sarah must add 2 lbs. of chicken broth. This will give her 6 total lbs. of broth and 18 total lbs. of soup, for a soup that is 1/3 broth.\r \n" ); document.write( "\n" ); document.write( " |