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A 300 -acre farm produced 20,000 bushels of corn last year. What is the minimum rate of production, in bushels per acre, that is needed this year so the farm's two-year production total will be at least 49,100 bushels of corn?

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A $300$ -acre farm produced $20,000$ bushels of corn last year. What is the minimum rate of production, in bushels per acre, that is needed this year so the farm's two-year production total will be at least $49,100$ bushels of corn? $\newline$ ◻

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GCF and LCM: word problems

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Q. A

300

-acre farm produced

20,000

bushels of corn last year. What is the minimum rate of production, in bushels per acre, that is needed this year so the farm's two-year production total will be at least

49,100

bushels of corn?

\newline

◻

Calculate Total Production: Determine the total production needed for two years. $\newline$ The farm produced $20,000$ bushels last year and needs a total of at least $49,100$ bushels for two years. $\newline$ So, the farm needs $49,100 - 20,000$ bushels this year. $\newline$ Calculation: $49,100 - 20,000 = 29,100$ bushels.
Determine Needed Bushels: Calculate the minimum rate of production for this year. $\newline$ The farm is $300$ acres, and it needs to produce at least $29,100$ bushels this year. $\newline$ To find the rate, divide the total bushels needed by the number of acres. $\newline$ Calculation: $29,100$ bushels $\div$ $300$ acres = $97$ bushels per acre.

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