Give each letter of the alphabet a money value: A= 1 penny, B= 2 penny,
C= 3 penny,and so on.Find words worth 1/5 dollar, 9/10 dollar, 1 1/20 dollars, and 1 1/2 dollars.
To find words worth specific amounts, we can assign each letter of the alphabet a money value based on the given information. Let's assign the following values: A = 1 penny, B = 2 pennies, C = 3 pennies, and so on.
Now, let's start with finding words worth 1/5 dollar, which is equivalent to 20 pennies. We need to find words that have a total value of 20. Here's an example:
WORD: BANANA
B = 2 pennies
A = 1 penny
N = 14 pennies (since N is the 14th letter)
A = 1 penny
N = 14 pennies (since N is the 14th letter)
A = 1 penny
The total value of the word BANANA is 2 + 1 + 14 + 1 + 14 + 1 = 33 pennies, which is greater than 20. Therefore, there are no valid words worth exactly 1/5 dollar.
Next, let's find words worth 9/10 dollar, which is equivalent to 90 pennies. Again, we need to find words that have a total value of 90. Here's an example:
WORD: CATS
C = 3 pennies
A = 1 penny
T = 20 pennies (since T is the 20th letter)
S = 19 pennies (since S is the 19th letter)
The total value of the word CATS is 3 + 1 + 20 + 19 = 43 pennies, which is less than 90. Therefore, there are no valid words worth exactly 9/10 dollar.
Now, let's find words worth 1 1/20 dollars, which is equivalent to 120 pennies. We need to find words that have a total value of 120. Here's an example:
WORD: CAB
C = 3 pennies
A = 1 penny
B = 2 pennies
The total value of the word CAB is 3 + 1 + 2 = 6 pennies, which is less than 120. Therefore, there are no valid words worth exactly 1 1/20 dollars.
Finally, let's find words worth 1 1/2 dollars, which is equivalent to 150 pennies. We need to find words that have a total value of 150. Here's an example:
WORD: FROG
F = 6 pennies
R = 18 pennies (since R is the 18th letter)
O = 15 pennies (since O is the 15th letter)
G = 7 pennies
The total value of the word FROG is 6 + 18 + 15 + 7 = 46 pennies, which is less than 150. Therefore, there are no valid words worth exactly 1 1/2 dollars.
In conclusion, there are no valid words worth exactly 1/5 dollar, 9/10 dollar, 1 1/20 dollars, or 1 1/2 dollars based on the assigned money values for each letter of the alphabet.