document.write( "Question 726611: A food store makes a 11–pound mixture of peanuts, almonds, and raisins. The cost of peanuts is $1.50 per pound, almonds cost $3.00 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as many peanuts as almonds. The total cost of the mixture is $21.00. How much of each ingredient did the store use? \n" ); document.write( "

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A food store makes a 11–pound mixture of peanuts, almonds, and raisins. The cost of peanuts is $1.50 per pound, almonds cost $3.00 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as many peanuts as almonds. The total cost of the mixture is $21.00. How much of each ingredient did the store use?
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\n" ); document.write( "You need 3 equations:
\n" ); document.write( "Weight: p + a + r = 11 lb
\n" ); document.write( "Value: 1.5p+3a+1.5r = 21 dollars
\n" ); document.write( "Quantity: p = 2a
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\n" ); document.write( "Substitute 2a for \"p\" to get 2 equations with 2 variables.
\n" ); document.write( "Solve the system for a and r: then for \"p\".
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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