you have two coins in your pocket. Together they are worth 30 cents. one of the coins is not a nickel. What coins do I have in my pocket.
So the other could be a nickel.
you have a quarter and a nickel.
"one of the coins is not a nickel" ... but the other one is ...
To determine the type of coins you have in your pocket, we can use logical reasoning.
Let's assume the two coins are x and y. Since the total worth of the two coins is 30 cents, we can write the equation as:
x + y = 30 cents
Now, we know that one of the coins is not a nickel, which means it cannot be 5 cents. So, we have two possibilities:
1. If x is not a nickel:
In this case, y could be a nickel (5 cents) or any other coin. So, one of the coins is a nickel, and the other coin must be worth 25 cents.
2. If y is not a nickel:
Similar to the first case, x could be a nickel (5 cents) or any other coin. So, one of the coins is a nickel, and the other coin must be worth 25 cents.
In both cases, we can conclude that one of the coins is a nickel (worth 5 cents), and the other coin is worth 25 cents.
Therefore, you have a nickel and a quarter in your pocket.