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At a restaurant, when a customer buys 4 pretzels, the fifth pretzel is free. Soft pretzels cost $3.90 each. You order 12 soft pretzels. What is your mean cost per pretzel?

At a restaurant, when a customer buys 4 pretzels, the fifth pretzel is free. Soft pretzels cost $3.90 each. You order 12 soft pretzels. What is your mean cost per pretzel?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Understanding Discounts and Calculating Mean Cost** At a restaurant, when a customer buys 4 pretzels, the fifth pretzel is free. Soft pretzels cost $3.90 each. You order 12 soft pretzels. What is your mean cost per pretzel? _____________ **Solution Explanation:** To find the mean cost per pretzel, first calculate the total cost of the pretzels with the discount applied, then divide by the total number of pretzels. **Steps:** 1. **Determine the Number of Free Pretzels:** - For every 5 pretzels, 1 is free. - Ordering 12 pretzels results in 2 free pretzels, since you get a free pretzel for each set of 5 purchased. 2. **Calculate the Total Number of Paid Pretzels:** - Out of 12 pretzels, 10 are paid (since 12 - 2 = 10). 3. **Calculate the Total Cost:** - Cost of 10 paid pretzels: \(10 \times \$3.90 = \$39.00\). 4. **Calculate the Mean Cost per Pretzel:** - Total cost divided by the number of pretzels (including the free ones): \(\frac{\$39.00}{12} = \$3.25\). Thus, the mean cost per pretzel is $3.25.
Transcribed Image Text:**Understanding Discounts and Calculating Mean Cost** At a restaurant, when a customer buys 4 pretzels, the fifth pretzel is free. Soft pretzels cost $3.90 each. You order 12 soft pretzels. What is your mean cost per pretzel? _____________ **Solution Explanation:** To find the mean cost per pretzel, first calculate the total cost of the pretzels with the discount applied, then divide by the total number of pretzels. **Steps:** 1. **Determine the Number of Free Pretzels:** - For every 5 pretzels, 1 is free. - Ordering 12 pretzels results in 2 free pretzels, since you get a free pretzel for each set of 5 purchased. 2. **Calculate the Total Number of Paid Pretzels:** - Out of 12 pretzels, 10 are paid (since 12 - 2 = 10). 3. **Calculate the Total Cost:** - Cost of 10 paid pretzels: \(10 \times \$3.90 = \$39.00\). 4. **Calculate the Mean Cost per Pretzel:** - Total cost divided by the number of pretzels (including the free ones): \(\frac{\$39.00}{12} = \$3.25\). Thus, the mean cost per pretzel is $3.25.
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