Math Problem Statement

A supermarket offers a 'buy 3 get 1 free' promotion for canned cola. If amy buys 4 cans of cola at the supermarket, what is the percentage discount?

Solution

To determine the percentage discount Amy receives from the "buy 3 get 1 free" promotion, let's break down the calculation:

  1. Normal Cost:

    • If Amy were to buy 4 cans without any promotion, she would pay for all 4 cans.
  2. Promotion Applied:

    • With the promotion, Amy buys 3 cans and gets the 4th can for free. Therefore, she only pays for 3 cans instead of 4.
  3. Discount Calculation:

    • The discount is the cost of 1 can since she gets 1 can free out of the 4.
  4. Percentage Discount: Percentage Discount=(Cost of 1 canCost of 4 cans)×100%\text{Percentage Discount} = \left(\frac{\text{Cost of 1 can}}{\text{Cost of 4 cans}}\right) \times 100\% Since the cost of 1 can is 14\frac{1}{4} of the total cost of 4 cans: Percentage Discount=(14)×100%=25%\text{Percentage Discount} = \left(\frac{1}{4}\right) \times 100\% = 25\%

Therefore, Amy receives a 25% discount on her purchase.

Would you like any details on the calculation or have any further questions?

Here are 5 related questions to explore:

  1. What would be the percentage discount if the promotion was "buy 2 get 1 free"?
  2. How much would Amy save if she bought 8 cans of cola under the same promotion?
  3. What is the effective price per can of cola after applying the "buy 3 get 1 free" promotion?
  4. How would the discount change if the price of each can increased by 10%?
  5. What would be the discount if Amy bought 6 cans and applied the "buy 3 get 1 free" promotion twice?

Tip: When analyzing discounts, always consider the total quantity you are paying for versus what you are receiving to calculate the effective discount percentage.

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Math Problem Analysis

Mathematical Concepts

Percentage
Discount Calculation
Ratios

Formulas

Percentage Discount = (Cost of Free Item / Total Cost without Promotion) × 100%

Theorems

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Suitable Grade Level

Grades 5-7