Question

Which algebraic expression represents “Mica shared her oranges equally with five friends”?
5 + w
5w
StartFraction 5 Over w EndFraction
StartFraction w Over 5 EndFraction

Answer 1

To represent the situation where Mica shared her oranges equally with five friends, we first note that Mica is sharing her oranges (let’s denote the total number of oranges Mica has as \( w \)) with her five friends. This means the total number of people involved, including Mica, is six (Mica + 5 friends).

So, when she shares \( w \) oranges equally among 6 people, each person gets:

\[
\frac{w}{6}
\]

However, since none of the provided options represent this division, let's examine the options more closely to see if we can find the best match based on what we have:

1. \( 5 + w \) - This represents 5 added to the number of oranges but doesn’t relate to sharing.
2. \( 5w \) - This represents 5 times the number of oranges, not sharing.
3. \( \frac{5}{w} \) - This represents 5 divided by the number of oranges, which doesn’t apply here.
4. \( \frac{w}{5} \) - This represents the number of oranges divided among 5 people, which could suggest that each gets \( \frac{w}{5} \) oranges, but does not include Mica.

From those options, \( \frac{w}{5} \) is the closest to an expression relating to sharing when we consider her sharing with 5 friends, as it suggests division of \( w \) oranges among 5 participants.

So if we had to select from the given choices, the option that best aligns with the idea of sharing is:

\[
\frac{w}{5}
\]

Note: This is not perfectly accurate since it doesn't include Mica, but it is the best option available.