A carpet buyer placed an order for 1993 square yards of carpet at $24.04 per square yard.  A quantity discount is offered according to the following schedule.  How much should be paid to the vendor for this order?

           

500 – 1, 000 square yards:      0.75%                     

1,001 -1,800 square yards:      1.25%

1,801 – 2,500 square yards:    1.75%

2,501 and more                       2.00%

Let's break down the problem step by step to determine how much the buyer should pay, considering the discount based on the quantity of carpet ordered.

1. **Determine the total order amount before discount:**
   \[
   \text{Total square yards ordered} = 1993 \, \text{yds}^2
   \]
   \[
   \text{Price per square yard} = 24.04 \, \text{USD}
   \]
   \[
   \text{Total price before discount} = 1993 \times 24.04 = 47,908.72 \, \text{USD}
   \]

2. **Determine the applicable discount:**
   Since the buyer ordered 1993 square yards, this falls into the discount category:
   \[
   1,801 - 2,500 \, \text{square yards} \quad \Rightarrow \quad 1.75\% \, \text{discount}.
   \]

3. **Calculate the discount amount:**
   \[
   \text{Discount} = 47,908.72 \times 0.0175 = 838.40 \, \text{USD}
   \]

4. **Calculate the total price after discount:**
   \[
   \text{Total price after discount} = 47,908.72 - 838.40 = 47,070.32 \, \text{USD}
   \]

Thus, the buyer should pay **$47,070.32** to the vendor for the carpet order.

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. What would be the total payment if the buyer ordered 1,500 square yards?
2. How much is saved if the buyer orders 2,600 square yards?
3. What is the price before and after a 2.00% discount for 3,000 square yards?
4. What would be the price without any discount if the buyer only ordered 500 square yards?
5. How would the total change if the price per yard was $25.00 instead?

**Tip:** Always check the discount brackets carefully to ensure you apply the correct percentage!

A carpet buyer placed an order for 1993 square yards of carpet at $24.04 per square yard. A quantity discount is offered according to the following schedule. How much should be paid to the vendor for this order?

500 – 1,000 square yards: 0.75%
1,001 - 1,800 square yards: 1.25%
1,801 – 2,500 square yards: 1.75%
2,501 and more: 2.00%

Learn how to calculate the total cost of 1993 square yards of carpet priced at $24.04 per square yard, considering a 1.75% quantity discount for orders between 1,801 and 2,500 square yards. Step-by-step solution and key formulas included. Suitable for high school students.

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