document.write( "Question 274517: Soybean meal is 18% protein, cornmeal is 9% protein.How many pounds of each should be mixed in order to get 360lb of mixture that is 10% protein?
\n" ); document.write( "
\n" ); document.write( "a. how many pounds of cornmeal should be in the mixture?
\n" ); document.write( "
\n" ); document.write( "b. how many pounds of soybean meal should be in the mixture?
\n" ); document.write( "

Algebra.Com's Answer #200313 by anantha(86)\"\" \"About 
You can put this solution on YOUR website!
let no of pounds of soybean meal be x pounds
\n" ); document.write( "and no of pounds of cornmeal be y pounds
\n" ); document.write( "x pounds of 18% protein and y pounds of 9% protein should be mixed we get 360lb of 10% protein
\n" ); document.write( "x+y=360lb -------(1)equation \r
\n" ); document.write( "\n" ); document.write( "y=360-x(i.e; for isolating y subtract x from both sides) \r
\n" ); document.write( "\n" ); document.write( "x * (18%)+ y*(9%) =360*(10%)
\n" ); document.write( "x*(18/100)+y*(9/100)=360*(10/100)
\n" ); document.write( "18x/100+9y/100=3600/100
\n" ); document.write( "multiplying every term by 100
\n" ); document.write( "(18x/100)*100+(9y/100)*100=(3600/100)*100
\n" ); document.write( "after removing 100 on both sides we have
\n" ); document.write( "18x+9y=3600------------(2) equation
\n" ); document.write( "substitute y value in 2 equation
\n" ); document.write( "18x+9(360-x)=3600
\n" ); document.write( "18x+9*360-9*x=3600
\n" ); document.write( "18x+3240-9x=3600
\n" ); document.write( "9x+3240=3600(subtracting 9x from 18x we get 9x)
\n" ); document.write( "isolate x on one side subtract 3240 on both sides
\n" ); document.write( "9x+3240-3240=3600-3240
\n" ); document.write( "9x=360
\n" ); document.write( "dividing both sides by 9 we get
\n" ); document.write( "9x/9 =360/9
\n" ); document.write( "x=40
\n" ); document.write( "substitute x value in y=360-x
\n" ); document.write( "y=360-x
\n" ); document.write( "y=360-40=320
\n" ); document.write( "no of pounds of soybean meal=40 pounds
\n" ); document.write( "no of pounds of cornmeal=320 pounds
\n" ); document.write( "
\n" ); document.write( "
\n" );