Math Problem Statement

At a shoe sale, Tomo buys a pair of sneakers for $108 that are originally $144. Nikki bought similar sneakers for $111 that were originally $150. What percent off are both sneakers? Who gets the better deal?

Solution

Let's calculate the percent discount for both Tomo and Nikki:

For Tomo:

  • Original price: $144
  • Sale price: $108
  • The discount amount is 144108=36144 - 108 = 36.

To find the percent discount: Percent discount=(Discount amountOriginal price)×100=(36144)×100=25%.\text{Percent discount} = \left(\frac{\text{Discount amount}}{\text{Original price}}\right) \times 100 = \left(\frac{36}{144}\right) \times 100 = 25\%. Tomo's discount is 25%.

For Nikki:

  • Original price: $150
  • Sale price: $111
  • The discount amount is 150111=39150 - 111 = 39.

To find the percent discount: Percent discount=(39150)×100=26%.\text{Percent discount} = \left(\frac{39}{150}\right) \times 100 = 26\%. Nikki's discount is 26%.

Who gets the better deal?

Since Nikki got a 26% discount while Tomo got a 25% discount, Nikki gets the better deal.

Would you like more details or have any further questions?

Here are 5 related questions:

  1. How would the discount change if Tomo bought the sneakers for $100 instead?
  2. What is the difference in the dollar amount saved between Tomo and Nikki?
  3. How would a 30% discount affect the price of a $200 item?
  4. If a third friend bought sneakers originally priced at $120 with a 20% discount, what would the sale price be?
  5. How much would Tomo save if the sneakers were discounted at 35%?

Tip: To quickly estimate discounts, use the formula Discount Percent=Original PriceSale PriceOriginal Price×100\text{Discount Percent} = \frac{\text{Original Price} - \text{Sale Price}}{\text{Original Price}} \times 100.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Percentage
Discount Calculation
Basic Arithmetic

Formulas

Percent Discount = (Original Price - Sale Price) / Original Price * 100

Theorems

-

Suitable Grade Level

Grades 5-7