Question

Randi has a party-sized sandwich that is 3/4 yard long. She will cut it into smaller sandwiches that are each 1/12 yard long. Which expression can be used to determine the number of smaller sandwiches Randi can cut

Answer 1

The expression for number of sandwiches is
`n=(3)/(4)/(1)/(12)`

9 small sandwiches can be made.

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.

`l=s* n\\\\n=(l)/(s)`

Now, plug in the given values and solve for 'n'. This gives,

`n=(3)/(4)/ (1)/(12)\\\\n=(3)/(4)* (12)/(1)\\\\n=(36)/(4)=9`

Therefore, 9 small sandwiches can be made.