document.write( "Question 4408: How many kilograms of milk testing 5% butterfat and how many kilograms of cream testing 25% butterfat should be mixed to give 100 kilograms testing 20% butterfat ? Not only show me how it's done , but tell me why the certain steps are taken . Thanks alot !!! \n" ); document.write( "
Algebra.Com's Answer #2947 by guapa(62) ![]() You can put this solution on YOUR website! Let x represent the amount of 5% milk butterfat. Then 100-x represents the amount of 25% cream butterfat. \n" ); document.write( "Use the following guideline: \n" ); document.write( "Kg of 5% milk butterfat + Kg of 25% cream butterfat = Kg of 20% mix \n" ); document.write( " 5%(x) + 25%(100-x) = 20%(100) \n" ); document.write( "Now let's solve this equation: \n" ); document.write( "0,05(x)+ 0,25(100-x)= 0,2(100) Now simplify the terms \n" ); document.write( "0,05x + 25 - 0,25x = 20 combine like terms \n" ); document.write( "-0,2x +25 = 20 Substract 25 from both sides \n" ); document.write( "-0,2x +25 -25 = 20-25 \n" ); document.write( "-0,2x = -5 Divide both sides by -0,2 \n" ); document.write( "-0,2x/-0,2 = -5/-0,2 \n" ); document.write( "x = 25 \n" ); document.write( "Therefore, 100-x = 100-25 = 75 \n" ); document.write( "We should mix 25kg of milk butterfat with 75kg of cream butterfat. \n" ); document.write( "I hope this helps \n" ); document.write( " |