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# A retail store currently has annual sales of \$160,000. The sales manager's goal is to increase sales by 15% for the following year. Write and solve an equation to find how much the store manager wants to do in sales volume next year.

Solution

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Assign a variable for the unknown value. Let $x$ be the sales volume for next year. Show the percent as fraction. The equation for the given problem is:

$160,000 + \left(160,000 \times \dfrac{15}{100}\right) = x$

Determine the sales volume for next year.

\begin{align*} 160,000 + \left(160,000 \times \dfrac{15}{100}\right) &= x && \text{Write the equation}\\ 160,000 + 24,000 &= x && \text{Perform operation inside the parentheses}\\ 184,000 &= x && \text{Perform addtion} \end{align*}

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