Answer :
Certainly! Let's go through the problem step-by-step to understand how to find the equation that represents the full price of each pajama set, [tex]\( f \)[/tex].
1. Identify Variables:
- Let [tex]\( f \)[/tex] represent the full price of one pajama set.
2. Understand the Sale Reduction:
- The sale reduces the price of each pajama set by [tex]$7. Therefore, during the sale, the cost of each pajama set is \( f - 7 \).
3. Total Purchase Cost:
- Mr. Dorsey buys 3 pajama sets during the sale. Thus, the total cost he pays is $[/tex]57.
4. Set Up the Equation:
- To find the total amount Mr. Dorsey spent, we multiply the sale price of one pajama set by the number of pajama sets purchased:
[tex]\[
3 \times (f - 7)
\][/tex]
- We know this amount equals $57. Therefore, our equation is:
[tex]\[
3 \times (f - 7) = 57
\][/tex]
This equation helps us determine the full price, [tex]\( f \)[/tex], of one pajama set. The correct equation you can use to find [tex]\( f \)[/tex] is:
[tex]\[ 3(f - 7) = 57 \][/tex]
1. Identify Variables:
- Let [tex]\( f \)[/tex] represent the full price of one pajama set.
2. Understand the Sale Reduction:
- The sale reduces the price of each pajama set by [tex]$7. Therefore, during the sale, the cost of each pajama set is \( f - 7 \).
3. Total Purchase Cost:
- Mr. Dorsey buys 3 pajama sets during the sale. Thus, the total cost he pays is $[/tex]57.
4. Set Up the Equation:
- To find the total amount Mr. Dorsey spent, we multiply the sale price of one pajama set by the number of pajama sets purchased:
[tex]\[
3 \times (f - 7)
\][/tex]
- We know this amount equals $57. Therefore, our equation is:
[tex]\[
3 \times (f - 7) = 57
\][/tex]
This equation helps us determine the full price, [tex]\( f \)[/tex], of one pajama set. The correct equation you can use to find [tex]\( f \)[/tex] is:
[tex]\[ 3(f - 7) = 57 \][/tex]