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Jenny buys 22 sports drinks for her soccer team. They are on sale for \( \$ 0.35 \) off per drink. Jenny paid \( \$ 18.70 \) for the 22 sports drinks. What question does the equation \( 22(x-0.35)=18.70 \) help answer? Choose 1 answer: (A) What is the pre-sale price of a sports drink? (C) How many sports drinks did Jenny buy? (C) Hotal amount of money Jenny spent?

Ask by Cook French. in the United States
Feb 25,2025

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The equation helps determine the pre-sale price of a sports drink.

Solución

To determine what question the equation \( 22(x-0.35)=18.70 \) helps answer, let's analyze the components of the equation: 1. **Understanding the equation**: - \( x \) represents the pre-sale price of a sports drink. - \( 0.35 \) is the discount applied to each drink. - \( 22 \) is the number of drinks Jenny bought. - \( 18.70 \) is the total amount Jenny paid after the discount. 2. **Breaking down the equation**: - The left side of the equation, \( 22(x-0.35) \), calculates the total cost of 22 drinks after applying the discount of \( 0.35 \) to the pre-sale price \( x \). - The right side of the equation, \( 18.70 \), represents the total amount Jenny actually paid. 3. **What the equation solves for**: - The equation is set up to find the value of \( x \), which is the pre-sale price of a sports drink. Given this analysis, the equation \( 22(x-0.35)=18.70 \) helps answer the question: **(A) What is the pre-sale price of a sports drink?**

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Bonus Knowledge

The equation \( 22(x-0.35) = 18.70 \) is designed to uncover the pre-sale price of each sports drink. By solving for \( x \), you determine how much Jenny would have to pay for each drink before the discount, letting you understand the original cost. Additionally, this equation is a great example of how discounts can be applied in real-world scenarios, especially in retail. It shows the practicality of algebra in calculating total costs and saving money. Understanding these equations is super helpful for personal budgeting or planning team purchases!

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