Answer :
To determine how many pounds of peaches you need to order, given that 9.0% are spoiled, follow these steps:
1. Understand the Problem: You need to end up with 100 pounds of peaches that are sellable. However, 9.0% of the peaches you order will be spoiled.
2. Calculate the Percentage of Peaches that Remain Good: If 9.0% of the peaches are spoiled, then 100% - 9.0% = 91.0% of the peaches will be good.
3. Setup the Equation: To find out how many total pounds you need to order, let [tex]\( x \)[/tex] be the total pounds you need to order. The pounds of good peaches you'll have is 91.0% of [tex]\( x \)[/tex], which should equal 100 pounds.
4. Solve the Equation:
[tex]\[
0.91 \times x = 100
\][/tex]
Solving for [tex]\( x \)[/tex], divide both sides by 0.91:
[tex]\[
x = \frac{100}{0.91}
\][/tex]
5. Calculate the Exact Amount:
[tex]\[
x \approx 109.89
\][/tex]
Since you can't order a fraction of a pound, you should round up to the nearest whole number.
So, you should order approximately 110 pounds of peaches to ensure you have 100 sellable pounds after spoilage. The correct answer is option D, 110 lbs.
1. Understand the Problem: You need to end up with 100 pounds of peaches that are sellable. However, 9.0% of the peaches you order will be spoiled.
2. Calculate the Percentage of Peaches that Remain Good: If 9.0% of the peaches are spoiled, then 100% - 9.0% = 91.0% of the peaches will be good.
3. Setup the Equation: To find out how many total pounds you need to order, let [tex]\( x \)[/tex] be the total pounds you need to order. The pounds of good peaches you'll have is 91.0% of [tex]\( x \)[/tex], which should equal 100 pounds.
4. Solve the Equation:
[tex]\[
0.91 \times x = 100
\][/tex]
Solving for [tex]\( x \)[/tex], divide both sides by 0.91:
[tex]\[
x = \frac{100}{0.91}
\][/tex]
5. Calculate the Exact Amount:
[tex]\[
x \approx 109.89
\][/tex]
Since you can't order a fraction of a pound, you should round up to the nearest whole number.
So, you should order approximately 110 pounds of peaches to ensure you have 100 sellable pounds after spoilage. The correct answer is option D, 110 lbs.
