Let's go through this step-by-step:
1. Convert pounds and ounces to just ounces:
- We start with 1 pound and 0.4 ounces.
- We know that 1 pound equals 16 ounces.
- Therefore, we convert 1 pound to ounces: [tex]\(1 \text{ lb} = 16 \text{ oz}\)[/tex].
- Adding the extra 0.4 ounces, the total weight in ounces is:
[tex]\[
16 \text{ oz} + 0.4 \text{ oz} = 16.4 \text{ oz}
\][/tex]
2. Convert ounces to grams:
- We are given that 1 pound is equal to 453.6 grams.
- Since 1 pound equals 16 ounces, we find the grams per ounce by dividing:
[tex]\[
\frac{453.6 \text{ g}}{16 \text{ oz}} = 28.35 \text{ g/oz}
\][/tex]
- Now, we convert the total weight in ounces to grams by multiplying:
[tex]\[
16.4 \text{ oz} \times 28.35 \text{ g/oz} = 464.94 \text{ g}
\][/tex]
3. Calculate the weight of each snack bar:
- We have 12 snack bars with a total weight of 464.94 grams.
- To find the weight of each snack bar, we divide the total weight by the number of bars:
[tex]\[
\frac{464.94 \text{ g}}{12} = 38.745 \text{ g}
\][/tex]
4. Round the weight to the nearest hundredth:
- When rounding 38.745 grams to the nearest hundredth, we get:
[tex]\[
38.74 \text{ g}
\][/tex]
So, each snack bar weighs approximately 38.74 grams.
