High School

Cozy Closet children's store is having its annual winter sale, during which every item is marked down. During the sale, pajama sets sell for $7 less than the full price. Mr. Dorsey purchases 3 matching pajama sets, one for each of his children, and pays a total of $57.

Which equation can you use to find how much money, [tex]f[/tex], each pajama set costs at full price?

A. [tex]7f - 3 = 57[/tex]
B. [tex]7(f - 3) = 57[/tex]
C. [tex]3f - 7 = 57[/tex]
D. [tex]3(f - 7) = 57[/tex]

Answer :

Let's analyze the problem step by step:

1. Mr. Dorsey buys 3 pajama sets, and during the sale each set is marked down by \[tex]$7. This means that if the full price of a set is $[/tex]f[tex]$, then the sale price for one set is
$[/tex][tex]$f-7.$[/tex][tex]$

2. Since he buys 3 sets, the total amount he pays will be 3 times the sale price. This gives us the equation:
$[/tex][tex]$3(f - 7) = 57.$[/tex][tex]$

3. The equation above represents the situation correctly. Therefore, the correct equation is
$[/tex][tex]$\boxed{3(f-7)=57}.$[/tex]$

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