Question

If a coin is a quarter, then it is worth 25 cents. If a coin is worth 25 cents, then 4 would make a dollar.

(1 point)
Responses

If I have a coin, then I have a quarter.
If I have a coin, then I have a quarter.

If a coin is a quarter, then 4 would make a dollar.
If a coin is a quarter, then 4 would make a dollar.

If it is worth 25 cents, it is a coin.
If it is worth 25 cents, it is a coin.

It is not possible to draw a conclusion.

Answer 1

The statements provided follow a logical structure regarding quarters, their value, and how many make a dollar. Here's an analysis of the original statements:

1. "If a coin is a quarter, then it is worth 25 cents."
2. "If a coin is worth 25 cents, then 4 would make a dollar."

From these statements, we can conclude that:

- If a coin is a quarter, then it meets the criteria of being worth 25 cents.
- If we know that a coin is worth 25 cents, it does not necessarily mean it is a quarter; it could also potentially be another coin worth the same value (like a 25-cent token, for example).
- The connection about 4 quarters making a dollar stems from the first two premises but does not confirm that any given coin meeting the criteria of being worth 25 cents is indeed a quarter.

Given the choices, the best response is:

**It is not possible to draw a conclusion.**

This response addresses the ambiguity that arises from assuming that just because a coin is worth 25 cents, it necessarily is a quarter. Thus, we cannot definitively conclude anything beyond what has been explicitly stated.