5/12 of the pupils in a school are left-handed and the rest are right-handed. There are 276 more pupils who are right-handed than left-handed. What is the total number of pupils in the school?

There are a total number of 1656 students in the school.

Step-by-step explanation:

Let's set up this word problem in mathematical terms.

We can call the number of Left Handed Students as X,

and we can call the number of Right Handed Students as Y.

Since there are 276 more right handed pupils than left handed, we have the following equation:

X + 276 = Y   -Equation 1

Also, since there are 5/12 ratio of left handed students and 7/12 right handed students, we get:

Total Students = T

(5/12) T = X                  -Equation 2

(7/12) T = Y                  -Equation 3

Substituting equations 2 and 3 into equation 1 we get:

Solving for Total number of students (T) we get:

T = 1656

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

doubled

step-by-step explanation: