What is the reason for using "letters" in algebraic problems? Why is such a thing needed?

Basic Algebra - Why Are There Letters in My Math??
Why Are There Letters?
Remember when you had math problems like this: 3 + = 10
This problem could be read, “Three plus something equals 10.”
Algebra uses letters to replace the . [ So the same problem can be written like this: 3 + x = 10
The problem could be read, “Three plus something equals 10.” or “Three plus x equals 10.” The “x” just stands

for “something”. We used x here, but we could use any letter. The letter is called the variable.
In algebra, our goal is to find out what number can replace the variable to make the equation true. In the example above, we know that 3 + 7 = 10. So the answer would be x = 7. (Replacing the x with a 7 makes the equation true.) ]

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Sarah says, "0.4 is bigger than 0.72 because tenths are bigger than hundredths" Karen says, "0.47 is bigger than 0.5 because 47 is bigger than 5". Mike says, "0.72 is bigger than 0.6 because 0.72 has seven tenths and 0.6 has only six tenths and the hundredths does not matter here."what is wrong with Sarah's and Karen's

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