College

Which equation represents the written description?

Seven times the difference between 35.8 and a number is equal to 53.4.

A. [tex]7(35.8) - m = 53.4[/tex]
B. [tex]7(35.8 - m) = 53.4[/tex]
C. [tex]7(m - 35.8) = 53.4[/tex]
D. [tex]7m - 35.8 = 53.4[/tex]

Answer :

To solve this problem, we need to translate the written statement into a mathematical equation. Let's break it down step-by-step:

1. Identify the Components:
- "Seven times": This suggests multiplication by 7.
- "The difference between 35.8 and a number": This means subtracting a number (let's call it [tex]\( m \)[/tex]) from 35.8. So, mathematically, this is represented as [tex]\( (35.8 - m) \)[/tex].

2. Putting it together:
- We take the expression for the difference, which is [tex]\( (35.8 - m) \)[/tex], and multiply it by 7. This is written as [tex]\( 7 \times (35.8 - m) \)[/tex].
- The rest of the statement says this is "equal to 53.4," which completes our equation as [tex]\( 7(35.8 - m) = 53.4 \)[/tex].

3. Choose the Correct Equation:
- Among the options provided, we need to find the one that matches the equation we just formulated:
- [tex]\( 7(35.8)-m=53.4 \)[/tex]
- [tex]\( 7(35.8-m)=53.4 \)[/tex]
- [tex]\( 7(m-35.8)=53.4 \)[/tex]
- [tex]\( 7 m-35.8=53.4 \)[/tex]

- The correct option is [tex]\( 7(35.8 - m) = 53.4 \)[/tex].

Therefore, the equation that represents the written description is [tex]\( 7(35.8-m)=53.4 \)[/tex].