The Venn diagram illustrates the number of people who participated in a survey about their grocery shopping preferences. It consists of two overlapping circles:1. **Left Circle** - Represents people who go to the grocery store. - Contains the number 25, which indicates people who only shop at the grocery store. - Contains the variable \( x \), representing those who shop at both the grocery store and the farmer’s market.2. **Right Circle** - Represents people who go to a farmer’s market. - Contains the number 36, indicating people who only shop at the farmer’s market.3. **Outside the Circles** - The number 8 indicates people who do not shop at either the grocery store or the farmer’s market.**Question**: According to the Venn diagram, if 60 people were surveyed, how many people shop at both the grocery store and the farmer’s market?To find \( x \), where \( x \) represents those shopping at both places, we set up the equation based on the total number of surveyed individuals:\[ 25 + x + 36 + 8 = 60 \]Simplifying the equation:\[ 69 + x = 60 \] \[ x = 60 - 69 \] \[ x = -9 \]This indicates a miscalculation in assumptions. Adjusting, we should start with:\[ 25 + x + 36 = 52 \] \[ x = 52 - 61 \] \[ x = -9 \]This contradiction highlights that either the initial survey number was misunderstood or values need reshifting without such contradictions.

Given Venn diagramTotal number of surveyed people are According to Venn diagram Number of people neither shop at the grocery store nor the farmer's market are Then remaining people shop at either the grocery store or the farmer's market=Now (Number of people shop at the grocery store)+(Number of people shop at the farmer's market)-(Number of people shop at both the grocery store and the farmer's market)=Therefore Number of people shop both the grocery store and the farmer's market are Conclusion HenceNumber of people shop both the grocery store and the farmer's market are

Math

Algebra

The Venn diagram shows the number of people that answered a survey about where they go grocery shopping. People who go to the grocery store 25 People who go to a farmer's market 36 8 According to the Venn diagram, if 60 people were surveyed, how many people shop at both the grocery store and the farmer's market?

The Venn diagram shows the number of people that answered a survey about where they go grocery shopping. People who go to the grocery store 25 People who go to a farmer's market 36 8 According to the Venn diagram, if 60 people were surveyed, how many people shop at both the grocery store and the farmer's market?

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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