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Fixed Answers in LF7 (#454)
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tdegeorge authored Jul 27, 2024
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35 changes: 13 additions & 22 deletions source/03-LF/07.ptx
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<p>
Let's begin by revisiting the carnival admission problem from <xref ref="LF6"/>. </p>
<p>
Admission into a carnival for 4 children and 2 adults is $128.50. For 6 children and 4 adults, the admission is $208. Assuming a different price for children and adults, what is the price of the child's admission and the price of the adult admission?
Admission into a carnival for <m>4</m> children and <m>2</m> adults is <m>\$128.50</m>. For <m>6</m> children and <m>4</m> adults, the admission is <m>\$208</m>. Assuming a different price for children and adults, what is the price of the child's admission and the price of the adult admission?
</p>
</introduction>

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</statement>
<answer>
<p>
C: <m>\begin{cases}
4x+2y=128.50\\
6x+4y=208
\end{cases}</m>
C
</p>
</answer>
</task>

<task>
<statement>
<p>
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</statement>
<answer>
<p>
C: <m>(24.5, 15.25)</m>
C
</p>
</answer>

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</p>
</answer>
</task>

</activity>

<activity xml:id="LF7-candy-mix">
<introduction>
<p> Let's revisit another application we've encountered before in <xref ref="EQ2"/>, <xref ref="activity-la-candymixture"/>.</p>
<p> Ammie's favorite snack to share with friends is candy salad, which is a mixture of different types of candy. Today she chooses to mix Nerds Gummy Clusters, which cost $8.38 per pound, and Starburst Jelly Beans, which cost <m>\$7.16</m> per pound. If she makes seven pounds of candy salad and spends a total of <m>\$55.61</m>, how many pounds of each candy did she buy? </p>
<p> Ammie's favorite snack to share with friends is candy salad, which is a mixture of different types of candy. Today she chooses to mix Nerds Gummy Clusters, which cost <m>\$8.38</m> per pound, and Starburst Jelly Beans, which cost <m>\$7.16</m> per pound. If she makes seven pounds of candy salad and spends a total of <m>\$55.61</m>, how many pounds of each candy did she buy? </p>
</introduction>
<task>
<statement>
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</statement>
<answer>
<p>
B: <m>\begin{cases}
N+S=7 \\
8.38N+7.16S=55.61
\end{cases}</m>
B
</p>
</answer>
</task>
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</statement>
<answer>
<p>
C: Ammie bought <m>4.5</m> lbs of Nerds Gummy Clusters and <m>2.5</m> lbs of Starburst Jelly Beans.
C
</p>
</answer>
</task>
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</statement>
<answer>
<p>
D: <m>\begin{cases}
w+h=104000 \\
w=2h-16000
\end{cases}</m>
D
</p>
</answer>
</task>

<task>
<statement>
<p>
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<li>The wife earns <m>\$40{,}000</m>.</li>
<li>The wife earns <m>\$64{,}000</m>.</li>
<li>The wife earns <m>\$74{,}600</m>.</li>

</ol>
</p>
</statement>
<answer>
<p>
C: <m>\$64{,}000</m>
C
</p>
</answer>
</task>
</activity>

<activity>
<statement>
<p>
Kenneth currently sells suits for Company A at a salary of <m>\$22{,}000</m> plus a <m>\$10</m> commission for each suit sold. Company B offers him a position with a salary of <m>\$28{,}000</m> plus a <m>\$4</m> commission for each suit sold. How many suits would Kenneth need to sell for the options to be equal?
</p>

<p>
Set-up and solve a system of equations to represent the situation.
</p>
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y=4x+28000
\end{cases}</me>

1000 suits
<m>1000</m> suits
</p>
</answer>

</activity>

</subsection>
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