document.write( "Question 692562: 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. How can you fix the mixture to make the correct shade of red?
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Algebra.Com's Answer #427056 by ankor@dixie-net.com(22740)\"\" \"About 
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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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\n" ); document.write( "The red:yellow ratio is 7:2, we can write the mixture as \"7%2F9\" or 77.8% red
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\n" ); document.write( "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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\n" ); document.write( "we need to add yellow to reduce the per cent of red
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\n" ); document.write( "Let y = amt of yellow required to do this
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\n" ); document.write( "\"7%2F9\"*(y+43) = 35
\n" ); document.write( "Multiply both sides by 9
\n" ); document.write( "7(y+43) = 9 * 35
\n" ); document.write( "7y + 301 = 315
\n" ); document.write( "7y = 315 - 301
\n" ); document.write( "7y = 14
\n" ); document.write( "y = 14/7
\n" ); document.write( "y = 2 quarts of yellow to be added, for total mixture of 45 quarts
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\n" ); document.write( "Check this, it still contains 35 quarts of red but the percentage has changed
\n" ); document.write( "\"35%2F45\" = 77.8% red which is what we want, a ratio of 7:2
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