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.
"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.
