S in the equation needs to be corrected from 24575 to 25450

<h2>How to Translate and Solve Applications</h2>
<p>In most of the application problems we solved earlier, we were able to find the quantity we were looking for by simplifying an algebraic expression. Now we will be using equations to solve application problems. We’ll start by restating the problem in just one sentence, assign a variable, and then translate the sentence into an equation to solve. When assigning a variable, choose a letter that reminds you of what you are looking for.</p>
<div class="ns-school-emp">
<h2>Example</h2>
<div class="ns-school-defn">
<div data-type="example">
<div>
<div>
<p>The Robles family has two dogs, Buster and Chandler. Together, they weigh $71$ pounds.</p>
<p>Chandler weighs $28$ pounds. How much does Buster weigh?</p>
</div>
<div>
<h3>Solution</h3>
<table data-label="" style="width: 790px;" summary=".">
<tbody>
<tr>
<td style="width: 501px;">Read the problem carefully.</td>
<td style="width: 275px;"> </td>
</tr>
<tr>
<td style="width: 501px;">Identify what you are asked to find, and choose a variable to represent it.</td>
<td style="width: 275px;">How much does Buster weigh?

<div> </div>

Let $b=$ Buster's weight</td>
</tr>
<tr>
<td style="width: 501px;">Write a sentence that gives the information to find it.</td>
<td style="width: 275px;">Buster's weight plus Chandler's weight equals 71 pounds.</td>
</tr>
<tr>
<td style="width: 501px;">We will restate the problem, and then include the given information.</td>
<td style="width: 275px;">Buster's weight plus 28 equals 71.</td>
</tr>
<tr>
<td style="width: 501px;">Translate the sentence into an equation, using the variable $b$.</td>
<td style="width: 275px;"><img alt="." src="https://data.ulearngo.com/assets/d829f4fd-6a56-4dfa-b938-5eb2bbca8b99"/></td>
</tr>
<tr>
<td data-valign="top" style="width: 501px;">Solve the equation using good algebraic techniques.</td>
<td style="width: 275px;"><img alt="." src="https://data.ulearngo.com/assets/87072709-9607-40a8-b38c-1118ce0bdf6c"/>
<div> </div>
<img alt="." src="https://data.ulearngo.com/assets/874ea1d2-5077-4366-bca0-d7ee95fec043"/></td>
</tr>
<tr>
<td style="width: 501px;">Check the answer in the problem and make sure it makes sense.</td>
<td style="width: 275px;"> </td>
</tr>
<tr>
<td style="width: 501px;">Is 43 pounds a reasonable weight for a dog? Yes. Does Buster's weight plus Chandler's weight equal 71 pounds?</td>
<td style="width: 275px;"> </td>
</tr>
<tr>
<td style="width: 501px;">$43+28\stackrel{?}{=}71$</td>
<td style="width: 275px;"> </td>
</tr>
<tr>
<td style="width: 501px;">$71=71\phantom{\rule{0.2em}{0ex}}✓$</td>
<td style="width: 275px;"> </td>
</tr>
<tr>
<td style="width: 501px;">Write a complete sentence that answers the question, "How much does Buster weigh?"</td>
<td style="width: 275px;">Buster weighs 43 pounds</td>
</tr>
</tbody>
</table>
</div>
</div>
</div>
</div>
</div>
<div class="ns-tutorial">
<div class="ns-school-defn2">
<h3>How to Devise a problem-solving strategy.</h3>
<ol type="1">
<li>Read the problem. Make sure you understand all the words and ideas.</li>
<li>Identify what you are looking for.</li>
<li>Name what you are looking for. Choose a variable to represent that quantity.</li>
<li>Translate into an equation. It may be helpful to restate the problem in one sentence with all the important information. Then, translate the English sentence into an algebra equation.</li>
<li>Solve the equation using good algebra techniques.</li>
<li>Check the answer in the problem and make sure it makes sense.</li>
<li>Answer the question with a complete sentence.</li>
</ol>
</div>
</div>
<div class="ns-school-emp">
<h2>Example</h2>
<div class="ns-school-defn">
<div data-type="example">
<div>
<div>
<p>Shayla paid $\text{\$24,575}$ for her new car. This was $\text{\$875}$ less than the sticker price. What was the sticker price of the car?</p>
</div>
<div>
<h3>Solution</h3>
<table data-label="" style="width: 767px;" summary=".">
<tbody>
<tr>
<td style="width: 408px;">What are you asked to find?</td>
<td style="width: 345px;">"What was the sticker price of the car?"</td>
</tr>
<tr>
<td style="width: 408px;">Assign a variable.</td>
<td style="width: 345px;">Let $s=$ the sticker price of the car.</td>
</tr>
<tr>
<td style="width: 408px;">Write a sentence that gives the information to find it.</td>
<td style="width: 345px;">$24,575 is $875 less than the sticker price

<div> </div>

$24,575 is $875 less than $s$</td>
</tr>
<tr>
<td style="width: 408px;">Translate into an equation.</td>
<td style="width: 345px;"><img alt="." src="https://data.ulearngo.com/assets/6bcc9357-34bc-47ea-895b-f2ce3f436d97"/></td>
</tr>
<tr>
<td style="width: 408px;">Solve.</td>
<td style="width: 345px;"><img alt="." src="https://data.ulearngo.com/assets/ca630384-b387-4855-9bea-f6127b6c7da6"/>
<div> </div>
<img alt="." src="https://data.ulearngo.com/assets/6bca1f5e-ded8-4a98-bda2-cff95981ccda"/></td>
</tr>
<tr>
<td style="width: 408px;">Check:</td>
<td style="width: 345px;"> </td>
</tr>
<tr>
<td style="width: 408px;">Is $875 less than $25,450 equal to $24,575?</td>
<td style="width: 345px;"> </td>
</tr>
<tr>
<td style="width: 408px;">$25,450-875\stackrel{?}{=}24,575$</td>
<td style="width: 345px;"> </td>
</tr>
<tr>
<td style="width: 408px;">$24,575=24,575\phantom{\rule{0.2em}{0ex}}✓$</td>
<td style="width: 345px;"> </td>
</tr>
<tr>
<td style="width: 408px;">Write a sentence that answers the question.</td>
<td style="width: 345px;">The sticker price was $25,450.</td>
</tr>
</tbody>
</table>
</div>
</div>
</div>
</div>
</div>

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How to Translate and Solve Applications

Mathematics studies measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are popular topics in mathematics.

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How to Translate and Solve Applications

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