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Question

# Set up an equation that can be used to solve the prob lem. Solve the equation and determine the desired value(s). MODELING - Scholarship Donation Each year, Andrea Choi donates a total of $\1000$ for scholarships at Mercer County Commun ity College . This year, she wants the amount she donates for scholarships for liberal arts to bethree times the amount she donates for scholarships for business. Determine the amount she will donate for each type of scholarship.

Solution

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Let $x$ be the amount of money for business scholarship. According to this, the amount for liberal arts will be $3\times x=3x$. The sum of these 2 scholarships total up to 1000, therefore, form an equation on for the given condition:

$\begin{equation*} x+3x=1000 \end{equation*}$

$\begin{equation*} 4x=1000 \end{equation*}$

$\begin{equation*} x=\dfrac{1000}{4} \end{equation*}$

$\begin{equation*} x=250 \end{equation*}$

She will donate $\250$ for business scholarship and $\750$ for liberal arts.

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