Question

Four soybean seeds per square foot on the ground represent a yield loss of 1 bushel per acre. Joey counted 20 soybeans in a square yard. What is the yield loss for 100 acres?

Answer 1

Answer: 220 bushels

Explanation:

I just did a bellwork on it and that was the answer.

Answer 2

55.55 bushels.

Explanation:

Given,

4 soybean seeds per square foot = -1 bushel per acre, ( negative sign shows loss )

`\implies \frac{4\text{ soybeans}}{\text{ 1 square foot}}=\frac{-1\text{ bushel}}{\text{1 acre}}-----(1)`

Let x be the the yield for 100 acres when 20 soybeans in a square yard is counted,

`\implies \frac{20\text{ soybeans}}{1\text{ square yard}}=\frac{x\text{ bushel}}{100\text{ acre}}`

Now, 1 yard = 3 feet ⇒ 1 square yard = 9 square feet,

`\implies \frac{20\text{ soybeans}}{\text{ 9 square feet}}=\frac{x\text{ bushel}}{\text{100 acre}}----(2)`

`(Equation (1))/(Equation (2))`

`\implies (4/1)/(20/9)=(-1/1)/(x/100)`

`(36)/(20)=-(100)/(x)`

`x=-(2000)/(36)\approx -55.55`

Hence, the yield loss is 55.55 bushel.