Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 13, 2023

Find the number of students $x$ in a classroom where 9 students left and there are now 36 students.

STEP 1

Assumptions
1. The equation to solve is $x - 9 = 36$ .
2. We are looking for a scenario that correctly represents this equation.

STEP 2

Analyze the first scenario: "A classroom had $x$ students. Then 9 of them went home. There are now 36 students in the classroom."
This scenario can be represented by the equation $x - 9 = 36$ , where $x$ is the original number of students, 9 students went home, and 36 students remain.

STEP 3

Analyze the second scenario: "There were 9 girls in a classroom. Then $x$ of them left. There are now 36 girls in the classroom."
This scenario would be represented by the equation $9 - x = 36$ , which is not the same as the given equation $x - 9 = 36$ .

STEP 4

Analyze the third scenario: "In a classroom, there are $x$ boys. There are 9 times as many girls as boys. There are 36 girls."
This scenario would be represented by the equation $9x = 36$ , where $x$ is the number of boys and 9 times that number is the number of girls. This is not the same as the given equation $x - 9 = 36$ .

STEP 5

Analyze the fourth scenario: "A classroom has 36 students. There are $x$ boys and 9 girls."
This scenario does not involve any subtraction and would be represented by an equation like $x + 9 = 36$ , which is not the same as the given equation $x - 9 = 36$ .

STEP 6

Based on the analysis of the scenarios, the first scenario is the only one that correctly represents the equation $x - 9 = 36$ .
The correct answer is: "A classroom had $x$ students. Then 9 of them went home. There are now 36 students in the classroom."

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