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likoan [24]
2 years ago
10

PLEASE help me with this question, and preferably leave your handwritten answer

Mathematics
1 answer:
tester [92]2 years ago
8 0

Using a system of equations, it is found that there were 100 students at the bus stop.

<h3>What is a system of equations?</h3>

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:

\frac{x}{y - 25} = \frac{3}{2}

Considering the second paragraph, the equation is:

y - 25 = x - 15.

Hence:

y = x + 10.

Replacing on the first equation:

\frac{x}{x - 15} = \frac{3}{2}

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 brainly.com/question/24342899

#SPJ1

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