document.write( "Question 192154: How to write the equation for the following: 3000 books in three piles. Pile 1 has 10 more books than pile 2. Pile 2 has twice as many as pile 3. How many in each pile? This is my fourth graders homework and I can't remember how to make the into an equation to be solved. Thanks so much for your help!! \n" ); document.write( "
Algebra.Com's Answer #144188 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let x, y, and z be the number of books in piles 1, 2, and 3.\r
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\n" ); document.write( "\n" ); document.write( "Since there are \"3000 books in three piles\", this means that \"x%2By%2Bz=3000\"\r
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\n" ); document.write( "\n" ); document.write( "Because \" Pile 1 has 10 more books than pile 2\", this tells us that \"x=y%2B10\"\r
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\n" ); document.write( "\n" ); document.write( "Also, since \"Pile 2 has twice as many as pile 3\", this gives the equation \"y=2z\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2By%2Bz=3000\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"%28y%2B10%29%2By%2Bz=3000\" Plug in \"x=y%2B10\"\r
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\n" ); document.write( "\n" ); document.write( "\"2z%2B10%2B2z%2Bz=3000\" Plug in \"y=2z\"\r
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\n" ); document.write( "\n" ); document.write( "\"10%2B5z=3000\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"5z=3000-10\" Subtract \"10\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"5z=2990\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"z=%282990%29%2F%285%29\" Divide both sides by \"5\" to isolate \"z\".\r
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\n" ); document.write( "\n" ); document.write( "\"z=598\" Reduce. So there are 598 books in the third pile\r
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\n" ); document.write( "\n" ); document.write( "\"y=2z\" Go back to the third equation\r
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\n" ); document.write( "\n" ); document.write( "\"y=2%28598%29\" Plug in \"z=598\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=1196\" Multiply. So there are 1,196 books in the second pile\r
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\n" ); document.write( "\n" ); document.write( "\"x=y%2B10\" Go back to the first equation\r
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\n" ); document.write( "\n" ); document.write( "\"x=1196%2B10\" Plug in \"y=1196\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=1206\" Add. So there are 1,206 books in the first pile.\r
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\n" ); document.write( "\n" ); document.write( "To check the answers, simply add up the books to get 3,000.
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