document.write( "Question 1100739: A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $14.50 per pound should be mixed with trail mix costing $4.40 per pound to create a 40 pound mixture worth $8.19 per pound. (round to the nearest pound)
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Algebra.Com's Answer #715270 by richwmiller(17219)\"\" \"About 
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40*$8.19=327.60
\n" ); document.write( "We know the total amount of the candy . 40
\n" ); document.write( "x+y=40
\n" ); document.write( "We know that the total cost for the candy is 327.6
\n" ); document.write( "14.50*x+4.40*y= 327.6
\n" ); document.write( "x=40-y
\n" ); document.write( "We substitute for x
\n" ); document.write( "14.50*(40-y)+4.40*y= 327.6
\n" ); document.write( "We multiply out
\n" ); document.write( "580-14.50*y+4.40*y= 327.60
\n" ); document.write( "We combine like terms.
\n" ); document.write( "-10.1*y=327.60-580
\n" ); document.write( "-10.1*y=-252.40
\n" ); document.write( "-10.1*y=-252.40
\n" ); document.write( "Isolate y
\n" ); document.write( "y=-252.4/-10.10
\n" ); document.write( "y=24.990099009901=25 lbs chocolate candy at $ 4.40 $ is-worth $109.956435643564
\n" ); document.write( "Calculate x
\n" ); document.write( "x=40-24.990099009901 \r
\n" ); document.write( "\n" ); document.write( "x=15.009900990099=15 lbs trail candy at $ 14.50 $ is-worth $217.643564356436
\n" ); document.write( "We check
\n" ); document.write( "14.50*15.009900990099+4.40*24.990099009901=327.60
\n" ); document.write( "217.643564356436+109.956435643564=327.60
\n" ); document.write( "327.6=327.60
\n" ); document.write( "Since 327.60 = 327.60 is TRUE, all is well \n" ); document.write( "
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