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 4.0 lb of candy? Express your answer numerically in kilograms. View Available Hint(s)

To find out how many kilograms of dietary fat are in a box containing 4.0 lb of candy, we can follow these steps: 1. **Convert pounds to grams**: Since 1 pound is approximately 453.592 grams, we can convert 4.0 lb to grams: \[ 4.0 \, \text{lb} \times 453.592 \, \text{g/lb} = 1814.37 \, \text{g} \] 2. **Determine how many pieces of candy are in the box**: Each piece of candy weighs 22.7 g, so we can find the number of pieces in 1814.37 g: \[ \text{Number of pieces} = \frac{1814.37 \, \text{g}}{22.7 \, \text{g/piece}} \approx 79.96 \, \text{pieces} \] Since we can't have a fraction of a piece, we can round this to 80 pieces. 3. **Calculate the total amount of dietary fat**: Each piece contains 7.00 g of dietary fat, so the total dietary fat in 80 pieces is: \[ \text{Total dietary fat} = 80 \, \text{pieces} \times 7.00 \, \text{g/piece} = 560 \, \text{g} \] 4. **Convert grams to kilograms**: To convert grams to kilograms, we divide by 1000: \[ 560 \, \text{g} \div 1000 = 0.560 \, \text{kg} \] Thus, the total amount of dietary fat in the box is **0.560 kg**.