Answer :
Sure! Let's work through this problem step-by-step to find the equation that represents the given situation.
1. Identify the Variables:
- Let [tex]\( f \)[/tex] be the full price of each necktie.
2. Mark Down Information:
- Each necktie costs \[tex]$8 less than its full price during the sale.
3. Calculate the Sale Price of a Necktie:
- The sale price of each necktie is \( f - 8 \) dollars.
4. Total Cost for 7 Neckties:
- Will bought 7 neckties, so the total cost can be represented by the equation:
\[
7 \times (f - 8)
\]
5. Given Total Expense:
- Will paid a total of $[/tex]147. Therefore, the equation for the total cost is:
[tex]\[
7 \times (f - 8) = 147
\][/tex]
Comparing the options provided:
- [tex]\( 7f - 8 = 147 \)[/tex]
- [tex]\( 8f - 7 = 147 \)[/tex]
- [tex]\( 7(f - 8) = 147 \)[/tex]
- [tex]\( 8(f - 7) = 147 \)[/tex]
We can see that the correct equation that represents the problem is:
[tex]\[
7(f - 8) = 147
\][/tex]
Therefore, the equation you can use to find [tex]\( f \)[/tex], the cost of each necktie at full price, is:
[tex]\[
7(f - 8) = 147
\][/tex]
1. Identify the Variables:
- Let [tex]\( f \)[/tex] be the full price of each necktie.
2. Mark Down Information:
- Each necktie costs \[tex]$8 less than its full price during the sale.
3. Calculate the Sale Price of a Necktie:
- The sale price of each necktie is \( f - 8 \) dollars.
4. Total Cost for 7 Neckties:
- Will bought 7 neckties, so the total cost can be represented by the equation:
\[
7 \times (f - 8)
\]
5. Given Total Expense:
- Will paid a total of $[/tex]147. Therefore, the equation for the total cost is:
[tex]\[
7 \times (f - 8) = 147
\][/tex]
Comparing the options provided:
- [tex]\( 7f - 8 = 147 \)[/tex]
- [tex]\( 8f - 7 = 147 \)[/tex]
- [tex]\( 7(f - 8) = 147 \)[/tex]
- [tex]\( 8(f - 7) = 147 \)[/tex]
We can see that the correct equation that represents the problem is:
[tex]\[
7(f - 8) = 147
\][/tex]
Therefore, the equation you can use to find [tex]\( f \)[/tex], the cost of each necktie at full price, is:
[tex]\[
7(f - 8) = 147
\][/tex]