document.write( "Question 1062859: A store mixes bluegrass worth $12 per pound and ryegrass $16 per pound. The mixture is to sell for $13 per pound. Find out how much of each should be used to make a 558 pound mixture? \n" ); document.write( "

Algebra.Com's Answer #677848 by addingup(3677) $\"\"$ $\"About$

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bluegrass: x
\n" ); document.write( "ryegrass: y
\n" ); document.write( "x+y = 558 subtract x from both sides:
\n" ); document.write( "y = 558-x
\n" ); document.write( "------------------------------
\n" ); document.write( "12x+16y = 13(558) substitute for y:
\n" ); document.write( "12x+16(558-x) = 13(558)
\n" ); document.write( "12x+8928-16x = 7254
\n" ); document.write( "-4x = -1674
\n" ); document.write( "x = -1674/-4 divide, and remember that -/- = +
\n" ); document.write( "x = 418.50
\n" ); document.write( "You need 418.5 pounds of the bluegrass and 558-418.5= 139.5 pounds of the ryegrass
\n" ); document.write( "------------------------------------------
\n" ); document.write( "make-sense check:
\n" ); document.write( "Mixture price: 13
\n" ); document.write( "Look at the bluegrass: 12, very close to 13
\n" ); document.write( "Look at the rye grass: 16, not so close to 13
\n" ); document.write( "It makes sense that you need a lot more of the $12 bluegrass
\n" ); document.write( ":
\n" ); document.write( "Happy learning,
\n" ); document.write( "John \n" ); document.write( "

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