document.write( "Question 1092288: In 2020 a​ city's budget is projected to be ​$37 million. This is approximately 15/11 of the 2000 budget. What was the​ city's budget in​ 2000? \n" ); document.write( "
Algebra.Com's Answer #706898 by Theo(13342)\"\" \"About 
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in 2020, the city's budget is 37 million.\r
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\n" ); document.write( "\n" ); document.write( "this is 15/11 of the 2000 budget.\r
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\n" ); document.write( "\n" ); document.write( "let x equal the 2000 budget.\r
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\n" ); document.write( "\n" ); document.write( "then the 2020 budget is equal to 15/11 * x.\r
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\n" ); document.write( "\n" ); document.write( "if the 2020 budget is equal to 37 million, then 37 million is equal to 15/11 * x\r
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\n" ); document.write( "\n" ); document.write( "your equation is 37 = 15/11 * x\r
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\n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by 11/15 and you get 11/15 * 37 = 11/15 * 15/11 * x\r
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\n" ); document.write( "\n" ); document.write( "11/15 * 37 is equal to 27.13333333..... which is equal to 407/15 which is equal to 27 + 2/15.\r
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\n" ); document.write( "\n" ); document.write( "11/15 * 15/11 is equal to 1.\r
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\n" ); document.write( "\n" ); document.write( "equation becomes\r
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\n" ); document.write( "\n" ); document.write( "27 + 2/15 = 1 * x which becomes 27 + 2/15 = x.\r
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\n" ); document.write( "\n" ); document.write( "the 2000 budget was 27 + 2/15 million, or approximately 27.13 million rounded to 2 decimal digits.\r
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\n" ); document.write( "\n" ); document.write( "if you take 27 + 2/15 and multiply it by 15/11, you will get (27 + 2/15) * 15/11 equals 27 * 15/11 + 2/15 * 15/11 which is equal to 405/11 + 2/11 which is equal to 407/11 which is equal to 37.\r
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\n" ); document.write( "\n" ); document.write( "solution checks out.\r
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\n" ); document.write( "\n" ); document.write( "the 2000 budget was 27 + 2/15, or 27.13 rounded to 2 decimal digits.\r
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