Answer :
Given:
Spoilage rate of fruits = 9% = 0.09
To find:
Amount of fruits to be order to have 100 pounds of peaches and considering the spoilage rate.
Solution:
Let the required amount of fruits you should order be x.
So, spoiled fruits = 9% of x = 0.09x
He would like to have 100 pounds of peaches to sell.
[tex]x-0.09x=100[/tex]
[tex]0.91x=100[/tex]
Divide both sides by 0.91.
[tex]x=\dfrac{100}{0.91}[/tex]
[tex]x=109.89[/tex]
[tex]x\approx 110[/tex]
The required amount of fruits to be order is 110 lbs. Therefore, the correct option is D.
Final answer:
To ensure having 100 pounds of sellable peaches, considering a spoilage rate of 9.0%, you must order approximately 109.89 pounds. Since you cannot order a fraction of a pound, it is necessary to round up to 110 pounds, so the correct answer is D. 110 lbs.
Explanation:
To determine how many pounds of peaches you should order to have 100 pounds of sellable peaches after accounting for a spoilage rate of 9.0%, you need to calculate the inverse percentage. The following steps explain how to do this:
Let x represent the total pounds of peaches you need to order.
Since 9.0% of the peaches will be spoiled, you'll have 91% of x pounds remaining for selling.
To find x, setup the equation 0.91x = 100 (because you want 100 pounds of non-spoiled peaches).
Divide both sides of the equation by 0.91 to solve for x.
x = 100 / 0.91, which calculates to approximately 109.89 pounds.
Since you can't order a fraction of a pound, you should round up to ensure you have at least 100 pounds of non-spoiled peaches. Thus, you need to order 110 pounds.
The correct answer is D. 110 lbs.
