Translate the sentence "The difference of Mabel's age and 11 is 51" into an equatio...

Check the final answer first, then review the worked steps.

Problem

Translate the sentence "The difference of Mabel's age and 11 is 51" into an equation using the variable m to represent Mabel's age.

Answer

\(m - 11 = 51\)

Step-by-step solution

  1. Identify the variable: The problem states to use the variable $m$ to represent Mabel's age.
  2. Identify keywords and translate to mathematical operations: The phrase "The difference of ... and ..." indicates subtraction. The word "is" translates to an equals sign (=).
  3. Construct the equation: The difference between Mabel's age ($m$) and 11 is 51. Therefore, we can write this as $m - 11 = 51$.