Question

A specific brand of gourmet chocolate candy contains 7.00 g of dietary fat in each 22.7-gpiece. How many kilograms of dietary fat are in a box containing 1.00 lb of candy?
Express your answer numerically in kilograms.

Answer 1

Answer:  0.14 kg

Explanation:

Gourmet chocolate candy contains 7.00 g of dietary fat in each 22.7-g piece

That is 1 piece of candy weighs 22.7 g and contains 7.00 g of dietary fat

Converting the mass in pounds to kg  

1 lb = 0.45 kg = 450 grams    (1kg=1000g)

Number of pieces = $\frac{450}{22.7g}=20pieces$

1 piece contains = 7 g of dietary fat

Thus 30 pieces would contain =$\frac{7}{1}\times 20=140g$ of dietary fat

1 g = 0.001 kg

Thus 140 grams =$\frac{0.001}{1}\times 140=0.14kg$

Thus 0.14 kg of dietary fat are in a box containing 1.00 lb of candy.