Answer :
Answer:
The expression for number of sandwiches is [tex]n=\frac{3}{4}\div\frac{1}{12}[/tex]
9 small sandwiches can be made.
Step-by-step explanation:
Given:
Length of party-sized sandwich (l) = 3/4 yard
Length of each small sandwich (s) = 1/12 yard
Now, let the total number of small sandwiches be 'n'.
Now, sum of all the lengths of small sandwiches will be equal to the length of the party-sized sandwiches.
Therefore, framing in equation form, we have:
Length of large sandwich = Length of small sandwich × Total number of small sandwiches.
[tex]l=s\times n\\\\n=\dfrac{l}{s}[/tex]
Now, plug in the given values and solve for 'n'. This gives,
[tex]n=\frac{3}{4}\div \frac{1}{12}\\\\n=\frac{3}{4}\times \frac{12}{1}\\\\n=\frac{36}{4}=9[/tex]
Therefore, 9 small sandwiches can be made.