Officer Aptitude Rating (OAR) Practice Test 2025 - Free OAR Practice Questions and Study Guide

Question: 1 / 400

If 3 times x exceeds 1/3 of y by 9, what is the correct equation representing the relationship between x and y?

3x - 1/3y = 9

To establish the correct equation from the provided scenario, we need to dissect the wording: "3 times x exceeds 1/3 of y by 9."

The phrase "exceeds by" indicates that the quantity it refers to (in this case, 3 times x) is greater than another quantity (1/3 of y) by a specific amount (9). To represent this mathematically, we can first express the quantities in the situation.

1. **3 times x** is represented as \(3x\).

2. **1/3 of y** is represented as \(\frac{1}{3}y\).

Since \(3x\) exceeds \(\frac{1}{3}y\) by 9, we can set up the equation as follows: \(3x\) is equal to \(\frac{1}{3}y + 9\). Reorganizing this equation to bring everything to one side allows us to express the relationship in the form of zero:

\[

3x - \frac{1}{3}y = 9

\]

This shows that the difference between \(3x\) and \(\frac{1}{3}y\) is indeed

Get further explanation with Examzify DeepDiveBeta

3x + 1/3y = 9

3x = 1/3y + 9

3x + 1/3y = 3

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