Answer:
Step-by-step explanation:
<u><em>a specific shade of red nail polish requires 7 parts of red to 2 parts of yellow. A mixture contains 35 quarts of red and 8 quarts of yellow.
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<u><em>How can you fix the mixture to make the correct shade of red?
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<u><em>The red:yellow ratio is 7:2, we can write the mixture as 7%2F9 or 77.8% red
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<u><em>The existing mixture of 35:8 is a 43 quart mixture and can be written as: 35%2F43 or 81.4% red
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<u><em>we need to add yellow to reduce the per cent of red
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<u><em>Let y = amt of yellow required to do this
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<u><em>7%2F9*(y+43) = 35
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<u><em>Multiply both sides by 9
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<u><em>7(y+43) = 9 * 35
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<u><em>7y + 301 = 315
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<u><em>7y = 315 - 301
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<u><em>7y = 14
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<u><em>y = 14/7 </em></u>
<u><em>y = 2 quarts of yellow to be added, for total mixture of 45 quarts
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<u><em>;
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<u><em>:
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<u><em>Check this, it still contains 35 quarts of red but the percentage has changed
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<u><em>35%2F45 = 77.8% red which is what we want, a ratio of 7:2</em></u>
<em>here you go i hope it helps</em>
