Which equation represents the written description?

Question

Six times the difference between 51.2 and a number is equal to 68.3

6(51.2) − m = 68.3
6(m − 51.2) = 68.3
6m − 51.2 = 68.3
6(51.2 − m) = 68.3

Answer 1

To translate the written description "Six times the difference between 51.2 and a number is equal to 68.3" into an equation, we need to break it down step by step.

1. Identify the difference between 51.2 and a number (m): This is represented as \( 51.2 - m \).
2. Six times that difference: This becomes \( 6(51.2 - m) \).
3. Set it equal to 68.3: Therefore, we write the equation as \( 6(51.2 - m) = 68.3 \).

Looking at the options provided, the correct equation that represents the description is:

6(51.2 − m) = 68.3.