A university organizes an event in which all tenth-grade students from three school districts are invited to visit the university campus. Each school district serves students from kindergarten through twelfth grade. The organizers expect 10% of the invited students to attend.
Part A.
Write an equation that can be used to predict the total number of tenth-grade students expected to attend. Describe the assumptions you used to determine your equation.
Enter your equation and your work in the space provided
Part B
This table shows information about the districts from which students will be invited
Number of students in a district
District Name Number of students in the District
Allegany county 9,022
Anne Arundel county 75,481
Baltimore city 83,800
Estimate the total number of tenth-grade students expected to visit the university
Enter your answer and your work in the work space provided.
Part A:
Let x be the total number of tenth-grade students invited. Since the organizers expect 10% of the invited students to attend, the equation can be written as:
0.10x = total number of tenth-grade students expected to attend
Part B:
To estimate the total number of tenth-grade students expected to visit the university, we need to calculate 10% of the total number of tenth-grade students invited from all three districts.
Total number of tenth-grade students invited:
= Number of tenth-grade students in Allegany county + Number of tenth-grade students in Anne Arundel county + Number of tenth-grade students in Baltimore city
= 10% of (9,022 + 75,481 + 83,800)
= 10% of 168,303
= 0.10 * 168,303
= 16,830.3
Therefore, we can estimate that approximately 16,830 tenth-grade students are expected to visit the university.