document.write( "Question 654850: Paula mixed2 cups of sunflower seeds and 3 cups of raisins to make a snack for a hike. She figures that the mixture would provide her with 2900 Calories of food energy. Find the number of Calories per cup of raisons if it is less 400 less than the number of calories per cup of sunflower seeds. Solve. Use a chart to help you solve the problem. \n" ); document.write( "
Algebra.Com's Answer #408852 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = calories / cup of sunflower seeds
\n" ); document.write( "Let \"+b+\" = calories / cup of raisins
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+2a+%2B+3b+=+2900+\" calories
\n" ); document.write( "(2) \"+b+=+a+-+400+\" calories/cup
\n" ); document.write( "-----------------
\n" ); document.write( "(2) \"+a+-+b+=+400+\"
\n" ); document.write( "Multiply both sides of (2) by \"+3+\" and
\n" ); document.write( "add (2) and (1)
\n" ); document.write( "(1) \"+2a+%2B+3b+=+2900+\"
\n" ); document.write( "(2) \"+3a+-+3b+=+1200%0D%0A%7B%7B%7B+5a+=+4100+\"
\n" ); document.write( "\"+a+=+820+\"
\n" ); document.write( "and, since
\n" ); document.write( "(2) \"+b+=+a+-+400+\"
\n" ); document.write( "(2) \"+b+=+820+-+400+\"
\n" ); document.write( "(2) \"+b+=+420+\"
\n" ); document.write( "820 = calories / cup of sunflower seeds
\n" ); document.write( "420 = calories / cup of raisins
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+2%2A820+%2B+3%2A420+=+2900+\"
\n" ); document.write( "(1) \"+1640+%2B+1260+=+2900+\"
\n" ); document.write( "(1) \"+2900+=+2900+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
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