Question

A classroom contains an equal number of boys and girls. If 1313 girls​ leave, twice as many boys as girls remain. What was the original number of students​ present?

Answer 1

5,252

Explanation:

Let the number of boys present be b and the number of girls present be g

Now we are told these numbers are equal. This means b = g

Furthermore, if 1313 girls leave, the number of boys remaining would be twice the number of girls.

Mathematically, this can be expressed as follows:

b/(g-1313) = 2

b = 2(g-1313)

b = 2g - 2626

b + 2626 = 2g

We know that b = g from the initial equation, substituting this here yields:

g + 2626 = 2g

g = 2626

Since b = g, b = 2626 also

Total number of students = 2626 + 2626 = 5,252