the student to teacher ratio at a high school is 17:3.If the total number of student and teachers is 740, how many of them must be students

Respuesta :

Lets break it down:

You are given the student to teacher ratio (17:3)

The 17:3 means that for every 17 students, you have 3 teachers.

So if there are a total of 740 teachers and students combined, then how many out of those 740 are students.

Lets do some algebra to make it easier,

17x + 3x = 740

20x = 740

x = 37

Now multiply 17:3 by 37 (for both)

37 * 17 = 629

37 * 3 = 111

Lets check out results, to be correct 629/111 must be equal to 17/3

629/111 = 5.6666 repeat

17/3 = 5.6666 repeat

Therefore, we are correct

Out of the 740 total teachers and students combined, 629 of them are students.

The number of students in the school will be 629.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

Given that the student-to-teacher ratio at a high school is 17:3.If the total number of students and teachers is 740.

The number of the students will be calculated as below:-

17:3 means that for every 17 students, you have 3 teachers. if there are a total of 740 teachers and students combined,

Let's do some algebra to make it easier,

17x + 3x = 740

20x = 740

x = 37

Now multiply 17:3 by 37 (for both)

37  x 17 = 629

37  x 3 = 111

Therefore, the number of students in the school will be 629.

To know more about ratios and proportions follow

https://brainly.com/question/12024093

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