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An amount is a quantity of something, a total, or sum.
Yes, the noun total is used in addition. The noun total is a word for the whole number or amount of something. In addition the noun total is the sum of numbers added together.
The sum of two numbers is a whole number if both of the numbers are whole numbers, or if the sum of two fractions can be simplified to a whole number.
WHOLE
It is a saying to describe synergy. Mathematically, though, the whole is equal to the sum of the parts - not more nor less.