SOLUTION: Soybean meal is 16% protein, cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 10% protein? How many pounds of cornme

Question 250368: Soybean meal is 16% protein, cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 10% protein?
How many pounds of cornmeal?
How many pounds of soybean meal?
im not good at word problems can someone pleeese help me? thank you
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Okay...this is a classic "mixture" problem...they are solved pretty much the same way...through this setup...
(Amount of #1)(% of #1) + (Amount of #2)(% of #2) = (Total amount)(Final %)
In our problem, let x = amount of cornmeal, so that 320-x is the amount of soybean meal...notice how they have to add to 320...so if we plug in, we get
(320-x)(18%) + (x)(8%) = (320)(10%)
Here we can multiply both sides by 100 and eliminate the % signs...
(320-x)(18) + (x)(8) = (320)(10) ...now multiply out and get
5760-18x + 8x = 3200 ...now combine like terms and get
-10x = -2560 ...divide by minus ten and get
x = 256 lbs cornmeal
320-x = 64 lbs soybean meal

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