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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