<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-mixture-problems" target="_blank">Mixture Problems Exercise</a></p><p><span style="color:#27ae60;">Mixture Problems</span> usually consist of someone mixing two or more solutions, liquids, or whatever together to create a combined mixture. You then have to calculate the percentage of some element in the combined mixture.</p>
<p><strong><span style="color:#8e44ad;">Example</span></strong></p>
<p>Solution A contains $30\%$ alcohol and Solution B contains $55\%$ alcohol. If $300$ mL of Solution A is mixed with $200$ mL of Solution B, then alcohol accounts for what percentage of the combined mixture?</p>
<p><strong><span style="color:#8e44ad;">Process</span></strong></p>
<p style="margin-left: 40px;"><strong>Step 1</strong>: Calculate the total amount of the mixture. This will be the denominator of the fraction we use to calculate the percentage.</p>
<p>$$300 + 200 = 500$$</p>
<p style="margin-left: 40px;"><strong>Step 2</strong>: Calculate the amount of alcohol in each of the two solutions.</p>
<p>$$A = (.30)(300) = 90$$</p>
<p>$$B = (.55)(200) = 110$$</p>
<p style="margin-left: 40px;"><strong>Step 3</strong>: Add the two numbers from step 2 and put it over the total (from step 1) to get the final answer.</p>
<p>$$\frac{90+110}{500} = \frac{200}{500} = 40\%$$</p>