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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 :

The problem states:

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

Step 1: Identify the phrase "the difference between 35.8 and a number."
This phrase means subtract a number (let's call it [tex]$m$[/tex]) from 35.8, which is written as:
[tex]$$35.8 - m.$$[/tex]

Step 2: Multiply the difference by 7 as indicated by "Seven times the difference."
This gives:
[tex]$$7(35.8 - m).$$[/tex]

Step 3: Set this expression equal to 53.4, as per the description "is equal to 53.4."
The resulting equation is:
[tex]$$7(35.8 - m) = 53.4.$$[/tex]

Among the provided choices, this corresponds to the equation:
[tex]$$7(35.8-m)=53.4.$$[/tex]

Thus, the correct answer is option 2.

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