You operate a fresh fruit and vegetable market. For normal shipments, about 9.0% of the peaches are spoiled when they reached your market. You anticipate a busy weekend and would like to have 100 pounds of peaches to sell. To have 100 pounds of peaches and considering the spoilage rate, how many pounds should you order? A. 101 lbs. B. 105 lbs. C. 109 lbs. D. 110 lbs. E. 112 lbs.​

Respuesta :

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.