document.write( "Question 1143939: Mike calculated that his daily in take of 2156 calories, four times as many calories were from carbohydrates as from protein and twice as many calories were from fat as from protein. How many calories were from carbohydrates?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #764888 by math_helper(2461) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r
\n" );
document.write( "\n" );
document.write( "Let C=Calories from Carbohydrates, P=Calories from Protein, F=Calories from Fat\r
\n" );
document.write( "\n" );
document.write( "We are given:
\n" );
document.write( "C = 4P
\n" );
document.write( "F = 2P
\n" );
document.write( "C+F+P = 2156\r
\n" );
document.write( "\n" );
document.write( "Substituting for C and F from the first two equations into the last equation:
\n" );
document.write( "4P + 2P + P = 2156
\n" );
document.write( " 7P = 2156 -->  P=308 Calories --> C=1232 Calories  and F=616 Calories\r
\n" );
document.write( "\n" );
document.write( "Calories from Carbohydrates = 1232\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Note:  1 Calorie = 1000 calories = 1 kilocalorie  (when dealing with food, we are talking about kilocalories, or Calories with a capital C)\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "

\n" );