Question

A store sells flower arrangements at a cost of $28 each. Which statements are true regarding the price of the arrangements? Select three options.
If the price is marked down by 10 percent, the new price will be $25.20.
If the price is marked down by 25 percent, the new price will be $21.00.
If the price is marked down by 35 percent, the new price will be $18.20.
If the price is marked down by 40 percent, the new price will be $29.80.
If the price is marked down by 50 percent, the new price will be $19.00.

Answer 1

Let's calculate the new prices for each of the proposed markdown percentages to determine which statements are true:

1. **10 percent markdown:**
- Calculation:
\[
\text{Markdown} = 28 \times 0.10 = 2.80
\]
\[
\text{New Price} = 28 - 2.80 = 25.20
\]
- **True**

2. **25 percent markdown:**
- Calculation:
\[
\text{Markdown} = 28 \times 0.25 = 7.00
\]
\[
\text{New Price} = 28 - 7.00 = 21.00
\]
- **True**

3. **35 percent markdown:**
- Calculation:
\[
\text{Markdown} = 28 \times 0.35 = 9.80
\]
\[
\text{New Price} = 28 - 9.80 = 18.20
\]
- **True**

4. **40 percent markdown:**
- Calculation:
\[
\text{Markdown} = 28 \times 0.40 = 11.20
\]
\[
\text{New Price} = 28 - 11.20 = 16.80
\]
- **False** (The new price is $16.80, not $29.80)

5. **50 percent markdown:**
- Calculation:
\[
\text{Markdown} = 28 \times 0.50 = 14.00
\]
\[
\text{New Price} = 28 - 14.00 = 14.00
\]
- **False** (The new price is $14.00, not $19.00)

**Final True Statements:**
- If the price is marked down by 10 percent, the new price will be $25.20.
- If the price is marked down by 25 percent, the new price will be $21.00.
- If the price is marked down by 35 percent, the new price will be $18.20.