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TheGhettoPug
Answered

The difference between one-half of a number and one-sixth of the number is equal to ten more than one-eighth of that number.


what is a equation that could be used to find the number?

Verified Answer :

1/2n - 1/6n = 1/8n + 10

Answer:

1/2x - 1/6x = 10 + 1/8x.

Step-by-step explanation:

This is a world problem that involves the use of equality to derive the needed equation for solution.

Lets break down the word problem step by step:

  • Let set x to the number we are referring to, arbitrary number = x.
  • one half of a number=> 1/2x.
  • one sixth of a number => 1/6x.
  • Difference between => 1/2x - 1/6x.
  • equals to => 1/2x-1/6x = .
  • tem more than one-eighth of that number => 1/2x - 1/6x = 10 + 1/8x

This equation can be  further simplified by collecting of liked terms to one side (LHS/RHS) of the equation.

Simplified Equation => 5/24x = 10.