Answer :
To solve this problem, we want to find out the full price of each pajama set. Let's break down the information:
1. Information Given:
- Mr. Dorsey buys 3 pajama sets.
- Each set is marked down by [tex]$7 from its full price.
- He pays a total of $[/tex]57 for 3 sets.
2. Define the Variables:
- Let [tex]\( f \)[/tex] be the full price of one pajama set.
3. Express the Discounted Price:
- Since each pajama set is sold for [tex]$7 less than the full price, the sale price of one set is \( f - 7 \).
4. Total Cost Calculation:
- Since Mr. Dorsey buys 3 sets, the total cost for the discounted sets is:
\[
3 \times (f - 7)
\]
- According to the problem, Mr. Dorsey paid a total of $[/tex]57, so we set up the equation:
[tex]\[
3 \times (f - 7) = 57
\][/tex]
5. Equation Option:
- The correct equation to find the full price [tex]\( f \)[/tex] is:
[tex]\[
3(f - 7) = 57
\][/tex]
This equation directly correlates with the conditions given in the problem and matches the correct choice from the options provided.
1. Information Given:
- Mr. Dorsey buys 3 pajama sets.
- Each set is marked down by [tex]$7 from its full price.
- He pays a total of $[/tex]57 for 3 sets.
2. Define the Variables:
- Let [tex]\( f \)[/tex] be the full price of one pajama set.
3. Express the Discounted Price:
- Since each pajama set is sold for [tex]$7 less than the full price, the sale price of one set is \( f - 7 \).
4. Total Cost Calculation:
- Since Mr. Dorsey buys 3 sets, the total cost for the discounted sets is:
\[
3 \times (f - 7)
\]
- According to the problem, Mr. Dorsey paid a total of $[/tex]57, so we set up the equation:
[tex]\[
3 \times (f - 7) = 57
\][/tex]
5. Equation Option:
- The correct equation to find the full price [tex]\( f \)[/tex] is:
[tex]\[
3(f - 7) = 57
\][/tex]
This equation directly correlates with the conditions given in the problem and matches the correct choice from the options provided.