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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:
Rewriting we have:
From here, we clear x:
Then, the amount of Soybean meal is:
The amount of cornmeal is:
Answer:
cornmeal: 280 lb
Soybean: 40 lb.
We have then:
x: Amount of soybean meal
320 - x: quantity of cornmeal
We now write the equation that models the problem:
Rewriting we have:
From here, we clear x:
Then, the amount of Soybean meal is:
The amount of cornmeal is:
Answer:
cornmeal: 280 lb
Soybean: 40 lb.