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Chapter 2: Problem 8

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The quotient of a number and 14 is \(8 .\) Find the number.

Short Answer

Expert verified
The number is 112.

Step by step solution

01

Setting up the equation

First, convert the word problem into a mathematical equation. According to the problem, 'The quotient of a number (let's call this number \(x\)) and 14 is 8.' This translates into the equation \(\frac{x}{14} = 8\).
02

Solving the equation

The next step involves solving the equation for \(x\). Multiply both sides of the equation by 14 to isolate \(x\) on one side of the equation. This is done to cancel out the denominator on the left side. When we do this, we end up with \(x = 14 \cdot 8\).
03

Calculation

Finally, calculate the value of \(x\). \(14 \cdot 8 = 112\).

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