Answer :
We start by letting [tex]$x$[/tex] be the number.
1. The phrase “four times a number” translates to [tex]$4x$[/tex].
2. “The difference of four times a number and 7” means we subtract 7 from [tex]$4x$[/tex], which gives us
[tex]$$4x - 7.$$[/tex]
3. The phrase “15 plus the quotient of the number and 3” means we add 15 to the result of dividing [tex]$x$[/tex] by 3, which gives us
[tex]$$15 + \frac{x}{3}.$$[/tex]
4. The word “is” indicates an equality, so we set the two expressions equal:
[tex]$$4x - 7 = 15 + \frac{x}{3}.$$[/tex]
This equation matches the one in option A.
Therefore, the correct option is A.
1. The phrase “four times a number” translates to [tex]$4x$[/tex].
2. “The difference of four times a number and 7” means we subtract 7 from [tex]$4x$[/tex], which gives us
[tex]$$4x - 7.$$[/tex]
3. The phrase “15 plus the quotient of the number and 3” means we add 15 to the result of dividing [tex]$x$[/tex] by 3, which gives us
[tex]$$15 + \frac{x}{3}.$$[/tex]
4. The word “is” indicates an equality, so we set the two expressions equal:
[tex]$$4x - 7 = 15 + \frac{x}{3}.$$[/tex]
This equation matches the one in option A.
Therefore, the correct option is A.
