To find the total ounces in [tex]\(3 \frac{1}{2}\)[/tex] pounds and 6 ounces, follow these steps:
1. First, convert the mixed number [tex]\(3 \frac{1}{2}\)[/tex] pounds into a fraction.
[tex]\[
3 \frac{1}{2} = 3 + \frac{1}{2} = \frac{6}{2} + \frac{1}{2} = \frac{7}{2} \text{ pounds}
\][/tex]
2. Convert the pounds into ounces. Since there are 16 ounces in a pound, multiply the pounds by 16.
[tex]\[
\left(\frac{7}{2} \text{ pounds}\right) \times 16 \text{ ounces per pound} = \left(\frac{7}{2}\right) \times 16 = 56 \text{ ounces}
\][/tex]
3. Add the additional 6 ounces to the total ounces from the pounds conversion.
[tex]\[
56 \text{ ounces} + 6 \text{ ounces} = 62 \text{ ounces}
\][/tex]
Therefore, the total number of ounces in [tex]\(3 \frac{1}{2}\)[/tex] pounds and 6 ounces is:
[tex]\[
62 \text{ ounces}
\][/tex]
Thus, the correct answer is [tex]\( \boxed{62 \text{ ounces}} \)[/tex].
