coleen hid a coin equivalent to a fraction of a dollar behind her back. She said the fraction is smaller than 1/2 and greater than 1/20. What is two possible coin could she have hidden. How do you know? Then she sid it was five time greater than 1/20. Shat coin did she have.
1/20 of a dollar is a nickel.
What coin is worth 5 times a nickel?
a quarter!:)
To find the two possible coins Coleen could have hidden, we need to determine which fractions meet the given criteria. Let's break it down step-by-step:
Step 1: Find the fractions smaller than 1/2 but greater than 1/20.
To do this, we need to find the fractions between the two given fractions. We can simplify this by finding a common denominator.
The common denominator of 2 and 20 is 20.
1/2 can be written as 10/20.
So, the fractions between 1/2 and 1/20 are:
11/20, 12/20, ..., 19/20.
Step 2: Identify the two possible coins based on the fractions found.
Since Coleen said the fraction is smaller than 1/2 and greater than 1/20, the two possible coins she could have hidden are:
- 11/20
- 19/20
Now let's move on to the second part of the question:
Coleen said the coin was five times greater than 1/20.
Step 1: Calculate 1/20 multiplied by 5.
(1/20) * 5 = 5/20 = 1/4
Step 2: Compare the result, 1/4, with the possible coins from the first part.
Based on the previous calculations, we can see that 1/4 is not equal to either 11/20 or 19/20. Therefore, the coin Coleen had cannot be determined based on the given information.
In conclusion:
- The two possible coins Coleen could have hidden, based on the first part of the question, are 11/20 and 19/20.
- The second part of the question does not provide enough information to determine the specific coin Coleen had.