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Arte-miy333 [17]
3 years ago
6

50 POINTS!!!!! HELP Soybean meal is 16% protein; cornmeal is 8% protein.How many pounds of each should be mixed together in orde

r to get 320-lb mixture that is 9% protein?
How many pounds of cornmeal should be in the mixture? How many pounds of soybean should be in the mixture?
Mathematics
1 answer:
tia_tia [17]3 years ago
4 0
The first thing we are going to do for this case is define variables.
 We have then:
 x: Amount of soybean meal
 320 - x: quantity of cornmeal
 We now write the equation that models the problem:
 0.16x + 0.08 (320-x) = 0.09 (320)

 Rewriting we have:
 0.16x + 25.6 - 0.08x = 28.8

 From here, we clear x:
 0.16x - 0.08x = 28.8 - 25.6

0.08x = 3.2

x = 3.2 / 0.08

x = 40
 Then, the amount of Soybean meal is:
 x = 40 lb

 The amount of cornmeal is:
 320 - x = 320 - 40 = 280 lb

 Answer:
 
cornmeal: 280 lb
 
Soybean: 40 lb.
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