Question

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?

Answer 1

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

Answer 2

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

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.