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There are 100 students in the sixth grade. Thirty-two percent of the sixth grade students live in Westville. Forty-five percent of the sixth grade students live in Franklin. The remaining students live in Bristol. Which fraction shows the percent of sixth grade students that live in Bristol or Westville?

User Suluke
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2 Answers

2 votes

Final answer:

To find the fraction representing the percent of sixth grade students living in Bristol or Westville, add the percentages of students living in each area. With 32% in Westville and 23% in Bristol, the sum is 55%, which as a fraction is 55/100 or simplified to 11/20.

Step-by-step explanation:

To find the fraction that shows the percent of sixth grade students living in Bristol or Westville, we must first determine the percentages separately and then combine them since we want the total fraction of students in both areas. According to the question, 32% of students live in Westville and 45% of students live in Franklin, making a total of 77% living in Westville or Franklin.

Since there are 100 students and 100% total to account for all of them, if 77% are in Westville or Franklin, the remaining 23% of students live in Bristol (100% - 77%). The fraction representing the percentage of students who live in Bristol or Westville is the combination of students from both areas. Therefore, adding the percentage of students in Westville to the percentage in Bristol gives us 32% + 23%, which equals 55%. This means that the fraction corresponding to 55% is 55/100 or simplified, 11/20.

User Jsea
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5.4k points
5 votes

Answer:

33/100

Step-by-step explanation:

100-32=78,78-45=33 therefore 33 is ur answer but sense ur putting it in fraction form u put it over 100 which gives u 33/100

User Silverdust
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5.1k points