Question

During the first phase of the harvest under Jones on Manor Farm, there was a 25% reduction in the amount of crops the animals took in from the previous year. During the second phase, there was an additional 20% reduction from the existing amount. If the original harvest from the previous year equaled 1200lbs, how many pounds of crops were gathered in the harvest the animals are presently taking in?

Answer 1

Given:

The original harvest from the previous year = 1200 lbs

During the 1st phase, the reduction in the amount of crops the animal took in from the previous year = 25%

During the 2nd phase, the additional reduction in the amount of crops from the existing amount = 20%

To find:

The pounds of crops that were gathered in the harvest, the animals are presently taking in.

Solution:

Let's assume,

"x" = amount of crops in the previous year

"R1" = rate of reduction in the amount of crops during the 1st phase

"R2" =  rate of reduction in the amount of crops during the 2nd phase

"y" = amount of crops in the present year

To find the constant decrease in the amount of crops we will use the following formula:

$\boxed{\bold{y\:=\:x\: *\:[1\:-\:\frac{R1}{100}][1\:-\:\frac{R2}{100}]}}$

Now, we will substitute the given values in the above formula,

y = 1200 * $[1\:-\:\frac{25}{100}][1\:-\:\frac{20}{100} ]$

⇒ y = 1200 * $[1\:-\:\frac{1}{4}][1\:-\:\frac{1}{5} ]$

⇒ y = 1200 * $\frac{3}{4}$ * $\frac{4}{5}$

⇒ y = 1200 * $\frac{3}{5}$

⇒ y = 240 * 3

⇒ y = 720 lbs

Thus, 720 lbs of crops were gathered in the harvest that the animals are presently taking in.

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