document.write( "Question 273137: One serving of canned beets contains 1 gram of protein and 6 grams of carbohydrates. One serving of canned red beans contains 6 grams of protein and 20 grams of carbohydrates. How many servings of each would it take to get exactly 21 grams of protein and 78 grams of carbohydrates? \n" ); document.write( "

Algebra.Com's Answer #199589 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"s\"$ = a serving in grams
\n" ); document.write( "Let $\"p\"$ = protein
\n" ); document.write( "let $\"c\"$ = carbs
\n" ); document.write( "For canned beets:
\n" ); document.write( " $\"s%5B1%5D+=+1p+%2B+6c\"$
\n" ); document.write( "For red beans:
\n" ); document.write( " $\"s%5B2%5D+=+6p+%2B+20c\"$
\n" ); document.write( "We want
\n" ); document.write( " $\"s+=+21p+%2B+78c\"$
\n" ); document.write( "I notice that $\"3%2As%5B2%5D+=+18p+%2B+60c\"$
\n" ); document.write( "I need 3 servings of $\"s%5B1%5D\"$ to make
\n" ); document.write( " $\"21p\"$ , since
\n" ); document.write( " $\"3%2As%5B1%5D+=+3p+%2B+18c\"$
\n" ); document.write( "and
\n" ); document.write( " $\"3p+%2B+18c\"$ plus
\n" ); document.write( " $\"18p+%2B+60c\"$ equals
\n" ); document.write( " $\"21p+%2B+78c\"$
\n" ); document.write( "so, I need 3 servings of beets
\n" ); document.write( "and 3 servings of red beans\r
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