document.write( "Question 171811: There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many boys are in the senior class?\r
\n" ); document.write( "\n" ); document.write( "210
\n" ); document.write( "147
\n" ); document.write( "117
\n" ); document.write( "107
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Algebra.Com's Answer #126916 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let x=# of boys and y=# of girls\r
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\n" ); document.write( "\n" ); document.write( "Because \"There are 357 seniors\", this means that \"x%2By=357\". Solving for \"y\", we get \"y=357-x\"\r
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\n" ); document.write( "\n" ); document.write( "Since \"The ratio of boys to girls is 7:10\", this tells us that we have the ratio:\r
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\n" ); document.write( "\n" ); document.write( "\"7%2F10=x%2Fy\"\r
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\n" ); document.write( "\n" ); document.write( "\"7%2F10=x%2Fy\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"7%2F10=x%2F%28357-x%29\" Plug in \"y=357-x\"\r
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\n" ); document.write( "\n" ); document.write( "\"7%28357-x%29=10x\" Cross multiply\r
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\n" ); document.write( "\n" ); document.write( "\"2499-7x=10x\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"-7x=10x-2499\" Subtract \"2499\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-7x-10x=-2499\" Subtract \"10x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-17x=-2499\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-2499%29%2F%28-17%29\" Divide both sides by \"-17\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=147\" Reduce. So there are 147 boys\r
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\n" ); document.write( "\n" ); document.write( "\"y=357-x\" Go back to the isolated equation\r
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\n" ); document.write( "\n" ); document.write( "\"y=357-147\" Plug in \"x=147\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=210\" Subtract. So there are 210 girls\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So there are 147 boys and 210 girls
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