Field Trip Participant Equation

Easy Heart Of Algebra Systems Of Linear Equations And Inequalities

A school is organizing a field trip and wants to calculate the number of students and teachers attending.

If the number of students is represented by $$x$$ and the number of teachers is represented by $$y$$, the school has the following conditions:

Which of the following systems of equations correctly represents this situation?

$$x + y = 30$$ and $$y = \frac{1}{2}x$$

$$x + y = 30$$ and $$y = 2x$$

$$x + 2y = 30$$ and $$y = \frac{1}{2}x$$

$$2x + y = 30$$ and $$y = 2x$$

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