Answer:
55.55 bushels.
Step-by-step explanation:
Given,
4 soybean seeds per square foot = -1 bushel per acre, ( negative sign shows loss )
[tex]\implies \frac{4\text{ soybeans}}{\text{ 1 square foot}}=\frac{-1\text{ bushel}}{\text{1 acre}}-----(1)[/tex]
Let x be the the yield for 100 acres when 20 soybeans in a square yard is counted,
[tex]\implies \frac{20\text{ soybeans}}{1\text{ square yard}}=\frac{x\text{ bushel}}{100\text{ acre}}[/tex]
Now, 1 yard = 3 feet ⇒ 1 square yard = 9 square feet,
[tex]\implies \frac{20\text{ soybeans}}{\text{ 9 square feet}}=\frac{x\text{ bushel}}{\text{100 acre}}----(2)[/tex]
[tex]\frac{Equation (1)}{Equation (2)}[/tex]
[tex]\implies \frac{4/1}{20/9}=\frac{-1/1}{x/100}[/tex]
[tex]\frac{36}{20}=-\frac{100}{x}[/tex]
[tex]x=-\frac{2000}{36}\approx -55.55[/tex]
Hence, the yield loss is 55.55 bushel.
Answer: 220 bushels
Step-by-step explanation:
I just did a bellwork on it and that was the answer.
