document.write( "Question 339019: Paula mixed 2 cups of sunflower seeds and 3 cups of raisins to make a snack for a hike. She figured that the mixture would provide her with 2900 Calories of food energy. Find the number of Calories per cup of raisins if it is 400 less than the number of Calories per cup of sunflower seeds. \n" ); document.write( "
Algebra.Com's Answer #243009 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
Paula mixed 2 cups of sunflower seeds
\n" ); document.write( "3 cups of raisins
\n" ); document.write( "mixture 2900 Calories energy.
\n" ); document.write( "raisins is 400 less than the number of Calories per cup of sunflower seeds.
\n" ); document.write( "let calories/cup in sunflower be x
\n" ); document.write( "calories /cup in raisins be y
\n" ); document.write( "..
\n" ); document.write( "x-y=400.......................1
\n" ); document.write( "..
\n" ); document.write( "2x+3y=2900....................2
\n" ); document.write( "multiply equation 1 by 3 and add to equation 2
\n" ); document.write( "3x-3y=1200
\n" ); document.write( "2x+3y=2900
\n" ); document.write( "ADD
\n" ); document.write( "5x=4100
\n" ); document.write( "divide by x
\n" ); document.write( "x= 4100/5
\n" ); document.write( "x=820 calories /cup in sun flower.
\n" ); document.write( "raisins contain 400 less. 820-400 = 420 calories \n" ); document.write( "
\n" );