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70b2f823-d690-48f5-86cf-13b53ba7591d.html
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<h4>Activity</h4>
<p>For numbers 1–3, use the following situation:</p>
<p>Andre’s coin jar contains 85 cents. There are no quarters or pennies in the jar, so the jar has all nickels, all dimes, or some of each.<br></p>
<br>
<div class="os-raise-ib-input" data-button-text="solution" data-content-id="339e9172-48fc-49aa-bf83-2d66f1dc5b5c" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
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<ol class="os-raise-noindent">
<li>Write an equation that relates the number of nickels, <span class="math math-repaired">\( n \), the number of dimes, <span class="math math-repaired">\( d \), and the amount of money, in cents, in the coin jar.
</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<!-- INSERT ANY VALID HTML HERE -->
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
\(5n+10d=85\), where n is the number of nickels and d is the number of dimes.
</div>
</div>
<br>
<!--START QUESTION 2 -->
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal1" data-schema-version="1.0">
<div class="os-raise-ib-cta-content">
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<ol class="os-raise-noindent" start="2">
<li>Graph your equation on the coordinate plane. Be sure to label the axes. Use the graphing tool or technology outside the course. Graph the equation that represents this scenario using the Desmos tool below. </li>
</ol>
</div>
<div class="os-raise-ib-cta-prompt">
<!-- INSERT ANY VALID HTML HERE -->
<p>When you have finished graphing, then select the <strong>solution</strong> button to compare your work. </p>
</div>
</div>
<div class="os-raise-ib-content" data-wait-for-event="Reveal1" data-schema-version="1.0">
<p>Compare your answer:</p>
<img alt="GRAPH OF A LINE WITH \(y\)-intercepts OF 8.5 AND PASSING THROUGH THE POINTS (1, 8) AND (17, 0)." class="img-fluid atto_image_button_text-bottom" height="299" src="https://k12.openstax.org/contents/raise/resources/d83b29774019895fb1e20ab3619a1529b88e2e9e" width="300">
<br>
<br>
</div>
<div class="os-raise-ib-desmos-gc" data-schema-version="1.0"></div>
<br>
<div class="os-raise-ib-input" data-button-text="solution" data-content-id="0efe1cc8-f18c-46f7-820f-6453a8f961a8" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<!-- INSERT ANY VALID HTML HERE -->
<ol class="os-raise-noindent" start="3">
<li>How many nickels are in the jar if there are no dimes?
</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
17 nickels
</div>
</div>
<br>
<br>
<div class="os-raise-ib-input" data-button-text="solution" data-content-id="108bc222-f812-422a-8d3a-7b7a47366405" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<!-- INSERT ANY VALID HTML HERE --><ol class="os-raise-noindent" start="4">
<li>How many dimes are in the jar if there are no nickels?
</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
It's not possible for the coin jar to have no nickels if the amount of money in it is 85 cents.
</div>
</div>
<br>
<div class="os-raise-ib-cta" data-button-text="Are your ready for more?" data-fire-event="eventShowMore1" data-schema-version="1.0">
<div class="os-raise-ib-cta-content">
</div>
<div class="os-raise-ib-cta-prompt">
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</div>
</div>
<div class="os-raise-ib-input" data-button-text="solution" data-content-id="f92ec19c-3317-43e2-ba72-eb5dbe13b8e4" data-schema-version="1.0" data-wait-for-event="eventShowMore1">
<div class="os-raise-ib-input-content">
<h4>Extending Your Thinking</h4>
<p>What are all the different ways the coin jar could have 85 cents if it could also contain quarters?
</p>
</div>
<div class="os-raise-ib-input-prompt">
Enter your answer here:
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p> Listed as nickels, dimes, quarters: (17,0,0), (15,1,0), (13,2,0), (12,0,1), (11,3,0), (10,1,1), (9,4,0), (8,2,1), (7,0,2), (7,5,0), (6,3,1), (5,1,2),(5,6,0), (4,4,1), (3,2,2), (2,0,3), (3,7,0), (2,5,1), (1,3,2), (0,1,3), (1,8,0), (0,6,1)</p>
</div>
</div>