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If an operator's rent is $849 and it takes up 1/3 of his pay, what is his total monthly pay?

  1. $2547

  2. $2499

  3. $2800

  4. $3000

The correct answer is: $2547

To determine the operator's total monthly pay based on the information provided, we start by recognizing that the rent amount of $849 represents one-third of the total pay. To find the total monthly pay, we can set up an equation. Let the total pay be represented as \( x \). Given that the rent is one-third of the total pay, we can express this relationship mathematically as: \[ \frac{1}{3}x = 849 \] To solve for \( x \), we can multiply both sides of the equation by 3, which gives us: \[ x = 849 \times 3 \] Calculating this yields: \[ x = 2547 \] Therefore, the total monthly pay of the operator is $2547. This calculation clearly illustrates how knowing a part of a whole allows us to find the entire quantity, which is a fundamental principle in solving problems involving ratios and proportions.