A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger's statement could be correct.

Question

Mathematics

Elvis Murillo

14 May, 03:10

A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger's statement could be correct.

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Answers (2)

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Dayton Pennington · Answer 1

SInce there are less employees than students more, the amount of employees driving would naturally be greater than the students

Bradley Meadows · Answer 2

Givens:

Students 27%. (s) Teachers and employees 94%. (t)

The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.

So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2000 students, there must be 200 teachers, and the number of students that have cars are 0.27 (2000) = 540, and the number of teacher and employees that have cars are 0.94 (200) = 188.

As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.