College

Multiply:

6 lb 11 oz [tex]\times \quad 8[/tex]

A. 52 lb 8 oz
B. 52 lb 9 oz
C. 48 lb 19 oz
D. 54 lb 8 oz
E. 53 lb 8 oz

Answer :

Sure! Let's solve the problem step by step:

We need to multiply 6 pounds 11 ounces by 8. Here's how we can do it:

1. Convert pounds to ounces:\
Since 1 pound equals 16 ounces, first convert the 6 pounds to ounces.
[tex]\[
6 \text{ lb} = 6 \times 16 = 96 \text{ oz}
\][/tex]

2. Add the existing ounces:\
Now add the 11 ounces to the converted ounces.
[tex]\[
96 \text{ oz} + 11 \text{ oz} = 107 \text{ oz}
\][/tex]

3. Multiply by 8:\
Multiply the total ounces by 8.
[tex]\[
107 \text{ oz} \times 8 = 856 \text{ oz}
\][/tex]

4. Convert back to pounds and ounces:\
Now, convert 856 ounces back to pounds and ounces. Since 1 pound is 16 ounces:
- First, find how many full pounds are in 856 ounces:
[tex]\[
856 \div 16 = 53 \text{ lb} \quad \text{(whole number quotient)}
\][/tex]
- Then, find the remaining ounces:
[tex]\[
856 \mod 16 = 8 \text{ oz} \quad \text{(remainder)}
\][/tex]

5. Result:\
The result of multiplying 6 pounds 11 ounces by 8 is 53 pounds 8 ounces.

So, the correct answer is 53 pounds 8 ounces.