# SOLUTION: Soybean meal is 16% protein; cornmela is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 14% protein? How many pounds of the

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 Click here to see ALL problems on Equations Question 146587: Soybean meal is 16% protein; cornmela is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 14% protein? How many pounds of the cornmeal should be in the mixture? How many pounds of the soybean should be in the mixture?Answer by jim_thompson5910(28504)   (Show Source): You can put this solution on YOUR website!let x= # of pounds of soybean meal and y=# of pounds of cornmeal Since we want a 320 mixture, this means that we have the first equation: Also, because we want a "320-lb mixture that is 14% protein" from the mixture of soybean meal that is 16% protein and "cornmeal that is 8% protein, we have the second equation: Multiply Multiply both sides by 10 to remove the decimals Distribute So we have the new system of equations: Start with the first equation Subtract from both sides Rearrange the equation --------------------- Since , we can now replace each in the second equation with to solve for Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown. Distribute to Multiply Combine like terms on the left side Subtract 2560 from both sides Combine like terms on the right side Divide both sides by 8 to isolate x Divide -----------------First Answer------------------------------ So the first part of our answer is: Since we know that we can plug it into the equation (remember we previously solved for in the first equation). Start with the equation where was previously isolated. Plug in Multiply Combine like terms -----------------Second Answer------------------------------ So the second part of our answer is: -----------------Summary------------------------------ So our answers are: and which form the ordered pair So there are 240 pounds of Soybean meal and 80 pounds of cornmeal