**Understanding Proportion in Winemaking**In a recent year, a winery produced 4,480 bottles of wine from 8 tons of grapes. They expect the demand to reach 7,680 bottles next year. How many tons of grapes will they need?To solve this, let's translate the problem into a proportion. Denote \( x \) as the number of tons of grapes they will need. Form the proportion without including units of measure:\[\text{Bottles} \rightarrow \frac{4,480}{7,680} = \frac{\text{Bottles of wine from existing grapes}}{\text{Bottles of wine from required grapes}}\]\[\text{Grapes} \rightarrow \frac{8}{x}\]In proportion, this can be expressed as:\[\frac{4,480}{7,680} = \frac{8}{x}\]*(Do not simplify.)*Use this mathematical setup to determine the required tons of grapes next year based on anticipated demand.

given. 4480 bottle of wine are produces form 8 tonns of grapes. Demand is 7680 bottles.

In a recent year, a winery produced 4480 bottles of wine from 8 tons of grapes. They expect the demand to reach 7680 bottles next year. How many tons of grapes will they need? Let x be the number of tons of grapes they will need. Translate the problem to a proportion. Do not include units of measure. Bottles → + Bottles Grapes → x + Grapes (Do not simplify.)

In a recent year, a winery produced 4480 bottles of wine from 8 tons of grapes. They expect the demand to reach 7680 bottles next year. How many tons of grapes will they need? Let x be the number of tons of grapes they will need. Translate the problem to a proportion. Do not include units of measure. Bottles → + Bottles Grapes → x + Grapes (Do not simplify.)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Understanding Proportion in Winemaking**

In a recent year, a winery produced 4,480 bottles of wine from 8 tons of grapes. They expect the demand to reach 7,680 bottles next year. How many tons of grapes will they need?

To solve this, let's translate the problem into a proportion. Denote \( x \) as the number of tons of grapes they will need. Form the proportion without including units of measure:

\[
\text{Bottles} \rightarrow \frac{4,480}{7,680} = \frac{\text{Bottles of wine from existing grapes}}{\text{Bottles of wine from required grapes}}
\]

\[
\text{Grapes} \rightarrow \frac{8}{x}
\]

In proportion, this can be expressed as:
\[
\frac{4,480}{7,680} = \frac{8}{x}
\]

*(Do not simplify.)*

Use this mathematical setup to determine the required tons of grapes next year based on anticipated demand.

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