Using a system of equations, it is found that there were 100 students at the bus stop.
What is a system of equations?
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of boys in the bus stop.
- Variable y: Number of girls in the bus stop.
Considering the first paragraph, the equation is:
[tex]\frac{x}{y - 25} = \frac{3}{2}[/tex]
Considering the second paragraph, the equation is:
y - 25 = x - 15.
Hence:
y = x + 10.
Replacing on the first equation:
[tex]\frac{x}{x - 15} = \frac{3}{2}[/tex]
3x - 45 = 2x
x = 45.
y = x + 10 = 55.
The total number was:
45 + 55 = 100.
More can be learned about a system of equations at https://brainly.com/question/24342899
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