The ratio of students to teachers is 28 to 2 at a school. If there are 42 new students how many teachers should be added in order to maintain the same student teacher ratio?
It would be 42:3 because it's 14:1, 28:2, 42:3.
To solve this problem, we need to determine the new ratio of students to teachers after adding 42 new students.
Currently, the ratio of students to teachers is 28:2. This means that for every 28 students, there are 2 teachers.
If there are 42 new students, we need to find out how many additional teachers should be added to maintain the same ratio.
To find the new ratio, we need to first determine the number of students and teachers after adding the new students.
Current number of students = 28 students
Current number of teachers = 2 teachers
Number of new students = 42 students
Total number of students after adding new students = Current number of students + Number of new students
= 28 students + 42 students
= 70 students
To maintain the same ratio, we need to find out how many teachers are needed for a ratio of 70 students to x teachers.
We can set up a proportion using the ratios:
28 students / 2 teachers = 70 students / x teachers
To solve for x (the number of teachers), we can cross-multiply:
28 * x = 2 * 70
Now, we can solve for x:
28x = 140
Dividing both sides by 28:
x = 5
Therefore, we need to add 5 teachers in order to maintain the same student-teacher ratio after adding 42 new students.