Answer :
Let the full price of each pajama set be [tex]$f$[/tex]. During the sale, each set is sold for [tex]$7$[/tex] dollars less than the full price. Therefore, the sale price for one set is
[tex]$$f - 7.$$[/tex]
Since Mr. Dorsey bought 3 sets and paid a total of \[tex]$57, we can write the total cost as
$[/tex][tex]$3(f-7)=57.$[/tex][tex]$
Thus, the equation to find $[/tex]f[tex]$ is
$[/tex][tex]$\boxed{3(f-7)=57.}$[/tex][tex]$
Now, solving for $[/tex]f[tex]$ step-by-step:
1. Divide both sides of the equation by 3:
$[/tex][tex]$f - 7 = \frac{57}{3} = 19.$[/tex][tex]$
2. Add 7 to both sides:
$[/tex][tex]$f = 19 + 7 = 26.$[/tex][tex]$
So, each pajama set costs \$[/tex]26 at full price. The correct equation is
[tex]$$3(f-7)=57.$$[/tex]
[tex]$$f - 7.$$[/tex]
Since Mr. Dorsey bought 3 sets and paid a total of \[tex]$57, we can write the total cost as
$[/tex][tex]$3(f-7)=57.$[/tex][tex]$
Thus, the equation to find $[/tex]f[tex]$ is
$[/tex][tex]$\boxed{3(f-7)=57.}$[/tex][tex]$
Now, solving for $[/tex]f[tex]$ step-by-step:
1. Divide both sides of the equation by 3:
$[/tex][tex]$f - 7 = \frac{57}{3} = 19.$[/tex][tex]$
2. Add 7 to both sides:
$[/tex][tex]$f = 19 + 7 = 26.$[/tex][tex]$
So, each pajama set costs \$[/tex]26 at full price. The correct equation is
[tex]$$3(f-7)=57.$$[/tex]