Answer :
Of course! Let's solve this problem step by step.
### Step-by-Step Solution:
1. Understand the given information:
- The table is being sold at a \( 68\% \) discount.
- The sale price of the table is $108.80.
2. Translate the discount into a usable form:
- A \( 68\% \) discount means the customer is paying only \( 100\% - 68\% = 32\% \) of the original price.
3. Set up the relationship between the sale price and the original price:
- Let \( P \) represent the original price of the table.
- The equation can be set up as: \( 32\% \text{ of } P = \$108.80 \)
4. Convert the percentage to a decimal for calculations:
- \( 32\% \) as a decimal is \( 0.32 \).
5. Formulate the equation:
- \( 0.32 \times P = 108.80 \)
6. Solve for \( P \) (the original price):
- To find \( P \), divide both sides of the equation by \( 0.32 \):
[tex]\[ P = \frac{108.80}{0.32} \][/tex]
7. Calculate the original price:
- Doing the division, you get:
[tex]\[ P \approx 340.00 \][/tex]
So, the price of the table yesterday was approximately [tex]\(\$ 340.00\)[/tex].
### Step-by-Step Solution:
1. Understand the given information:
- The table is being sold at a \( 68\% \) discount.
- The sale price of the table is $108.80.
2. Translate the discount into a usable form:
- A \( 68\% \) discount means the customer is paying only \( 100\% - 68\% = 32\% \) of the original price.
3. Set up the relationship between the sale price and the original price:
- Let \( P \) represent the original price of the table.
- The equation can be set up as: \( 32\% \text{ of } P = \$108.80 \)
4. Convert the percentage to a decimal for calculations:
- \( 32\% \) as a decimal is \( 0.32 \).
5. Formulate the equation:
- \( 0.32 \times P = 108.80 \)
6. Solve for \( P \) (the original price):
- To find \( P \), divide both sides of the equation by \( 0.32 \):
[tex]\[ P = \frac{108.80}{0.32} \][/tex]
7. Calculate the original price:
- Doing the division, you get:
[tex]\[ P \approx 340.00 \][/tex]
So, the price of the table yesterday was approximately [tex]\(\$ 340.00\)[/tex].
