A specific brand of gourmet chocolate candy contains 7.00  g
  of dietary fat in each  22.7- g
  piece.  How many kilograms of dietary fat are in a box containing 3.00  lb
  of candy?
Express your answer numerically in kilograms.

To solve this problem, we'll need to calculate the total amount of dietary fat in the box of chocolate candy.

### Step 1: Convert the weight of the candy from pounds to grams.
Given:
- 1 pound (lb) = 453.592 grams (g)
- The box contains 3.00 lb of candy

\[
\text{Total weight of candy in grams} = 3.00 \, \text{lb} \times 453.592 \, \text{g/lb} = 1360.776 \, \text{g}
\]

### Step 2: Determine the number of pieces in the box.
Given:
- Each piece of candy weighs 22.7 g

\[
\text{Number of pieces} = \frac{1360.776 \, \text{g}}{22.7 \, \text{g/piece}} \approx 59.94 \text{ pieces}
\]
Since the number of pieces must be a whole number, let's round it to 60 pieces (assuming the exact number isn't critical or the pieces are not split).

### Step 3: Calculate the total dietary fat in grams.
Given:
- Each piece contains 7.00 g of dietary fat

\[
\text{Total dietary fat in grams} = 60 \, \text{pieces} \times 7.00 \, \text{g/piece} = 420 \, \text{g}
\]

### Step 4: Convert grams of dietary fat to kilograms.
Given:
- 1 kilogram (kg) = 1000 grams (g)

\[
\text{Total dietary fat in kilograms} = \frac{420 \, \text{g}}{1000} = 0.420 \, \text{kg}
\]

Thus, there are **0.420 kilograms** of dietary fat in the box.

Would you like more details or have any other questions?

### Related Questions:
1. How would the answer change if each piece contained 5 g of dietary fat?
2. What is the total calorie content if each gram of fat contains 9 calories?
3. How many pieces are in the box if the total weight is 2 lb?
4. How many kilograms of dietary fat would be in a box containing 5 lb of candy?
5. If the dietary fat content is reduced by 25%, how many grams of fat would each piece contain?

### Tip:
Always double-check your unit conversions, as they are often a critical step in solving problems like this.

A specific brand of gourmet chocolate candy contains 7.00 g of dietary fat in each 22.7-g piece. How many kilograms of dietary fat are in a box containing 3.00 lb of candy? Express your answer numerically in kilograms.

Learn how to calculate the total dietary fat in kilograms in a box of gourmet chocolate candy. This problem involves unit conversion from pounds to grams, multiplication, and division. Suitable for students in Grades 9-12.

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