Pregunta
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A certain shampoo is available in tro sizes, A 23.7 -ounce bottle costs 54.97 . A 32.8-ounce bottle costs 57.48 . Find the unit price for each size. Then state which size is the better bury based on the unit price. Round your answers to the nearest cent. Unit price for the 237 -ounce bottle: \$] per ounce thit price for the 33.8 -ounce bottle: 5 T per ounce The better buy: The 237 -ounce bottle The 33.8 -ounce bottle Neither (They have the same unit price)

Ask by Gibson Cummings. in the United States
Jan 13,2025

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The 32.8-ounce bottle is the better buy with a unit price of \$1.75 per ounce compared to \$2.32 per ounce for the 23.7-ounce bottle.

Solución

Let's calculate the unit price for each shampoo bottle and determine which size offers the better value. ### 1. **Unit Price Calculation** **a. 23.7-ounce bottle:** \[ \text{Unit Price} = \frac{\$54.97}{23.7 \text{ ounces}} \approx \$2.32 \text{ per ounce} \] **b. 32.8-ounce bottle:** \[ \text{Unit Price} = \frac{\$57.48}{32.8 \text{ ounces}} \approx \$1.75 \text{ per ounce} \] ### 2. **Determining the Better Buy** Comparing the two unit prices: - **23.7-ounce bottle:** \$2.32 per ounce - **32.8-ounce bottle:** \$1.75 per ounce **Conclusion:** The **32.8-ounce bottle** is the better buy because it has a lower unit price. ### **Summary** - **Unit price for the 23.7-ounce bottle:** \$2.32 per ounce - **Unit price for the 32.8-ounce bottle:** \$1.75 per ounce - **The better buy:** The **32.8-ounce bottle**

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Extra Insights

To find the unit price for each shampoo bottle, simply divide the cost by the number of ounces. For the 23.7-ounce bottle, the calculation is: $54.97 / 23.7 ounces = approximately $2.32 per ounce (rounded to the nearest cent). For the 32.8-ounce bottle, the calculation is: $57.48 / 32.8 ounces = approximately $1.75 per ounce (rounded to the nearest cent). Based on the unit prices, the better buy is the 32.8-ounce bottle as it offers a lower price per ounce. Now, let's dive into the history of shampoos - they trace back to ancient India where a cleansing concoction made of herbs, flowers, and spices was used to wash hair. This traditional practice evolved over centuries, leading to the commercial shampoos we recognize today. As for real-world application, knowing how to calculate unit prices empowers you as a savvy shopper! Not only can you save money by comparing larger versus smaller product sizes, but you’ll also be armed with the knowledge to make smarter purchases across any shopping endeavor, from groceries to household supplies.

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