Math Problem Statement

the eight pack of fine tip pens cost $12.00. the pack of pens are on sale 1/3 off the original price. what is the sale price of an individual pen?

Solution

To determine the sale price of an individual pen, follow these steps:

  1. The original price of the eight-pack of pens is $12.00.
  2. The discount is 13\frac{1}{3} off the original price.

First, calculate the amount discounted:

Discount amount=13×12=4\text{Discount amount} = \frac{1}{3} \times 12 = 4

Now, subtract the discount from the original price to find the sale price of the eight-pack:

Sale price of the pack=124=8\text{Sale price of the pack} = 12 - 4 = 8

Next, calculate the sale price of an individual pen. Since there are 8 pens in the pack, divide the sale price of the pack by 8:

Sale price of an individual pen=88=1\text{Sale price of an individual pen} = \frac{8}{8} = 1

Therefore, the sale price of an individual pen is $1.00.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What would the discount be if the pack was 50% off instead?
  2. How much would two packs of pens cost at the sale price?
  3. What is the percentage savings per pen compared to the original price?
  4. If a different store sold a pack for $10.00, which store offers a better deal after the sale?
  5. How would the price change if only 1/4 off was applied instead?

Tip: Always confirm the total number of items in a package when calculating the price per item.

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Math Problem Analysis

Mathematical Concepts

Percentage Discounts
Unit Price Calculation

Formulas

Discount amount = (Discount percentage) × (Original price)
Sale price = Original price - Discount amount
Price per unit = Sale price of pack / Number of items

Theorems

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Suitable Grade Level

Grades 5-7