document.write( "Question 158483: Five more than 1/4 of a number is 2/3 of that number. Find the number \n" ); document.write( "
Algebra.Com's Answer #116747 by Electrified_Levi(103)\"\" \"About 
You can put this solution on YOUR website!
Hi, Hope I can help,
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\n" ); document.write( "Five more than \"+1%2F4+\" of a number is \"2%2F3\" of that number. Find the number
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\n" ); document.write( "We are trying to find a number, since we need to find one number, we have 1 variable
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\n" ); document.write( "We will name the variable/number \"x\"
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\n" ); document.write( "Five more than \"+1%2F4+\" of a number is \"2%2F3\" of that number. Find the number(replace \"a number\", and \"that number\" with \"x\")
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\n" ); document.write( "Five more than \"+1%2F4+\" of \"x\" is \"2%2F3\" of \"x\". Find the number
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\n" ); document.write( "This is how you would write the equation
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\n" ); document.write( "\"+%281%2F4%29%28x%29+%2B+5+=+%282%2F3%29%28x%29+\"
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\n" ); document.write( "We will multiply it out
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\n" ); document.write( "\"+%281%2F4%29%28x%29+%2B+5+=+%282%2F3%29%28x%29+\" = \"+%281%2F4%29%28x%2F1%29+%2B+5+=+%282%2F3%29%28x%2F1%29+\" = \"+%28x%2F4%29%2B+5+=+%282x%2F3%29+\"
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\n" ); document.write( "We will need to get rid of the fraction by multiplying each side by \"12\"
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\n" ); document.write( "\"+%28x%2F4%29%2B+5+=+%282x%2F3%29+\" = \"+%2812%29%28%28x%2F4%29%2B+5%29+=+%2812%29%282x%2F3%29+\" = \"+%2812%29%28x%2F4%29%2B+%2812%29%285%29+=+%2812%29%282x%2F3%29+\" = \"+%2812%2F1%29%28x%2F4%29%2B+%2812%2F1%29%285%29+=+%2812%2F1%29%282x%2F3%29+\"
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\n" ); document.write( "\"+%2812%2F1%29%28x%2F4%29%2B+%2812%2F1%29%285%29+=+%2812%2F1%29%282x%2F3%29+\" = \"+%2812x%2F4%29%2B+60+=+%2824x%2F3%29+\" = \"+%283x%29%2B+60+=+%288x%29+\" = \"+3x%2B+60+=+8x+\"
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\n" ); document.write( "We will need to move \"3x\" to the right side
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\n" ); document.write( "\"+3x%2B+60+=+8x+\" = \"+3x+-+3x+%2B+60+=+8x+-+3x+\" = \"++60+=+8x+-+3x+\" = \"++60+=+5x+\" = \"++5x+=+60+\"
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\n" ); document.write( "To find \"x\"(our number) we will divide each side by \"5\"
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\n" ); document.write( "\"++5x+=+60+\" = \"++5x%2F5+=+60%2F5+\" = \"++x+=+60%2F5+\" = \"++x+=+12+\"
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\n" ); document.write( "\"12\" is our number, we can check by replacing \"x\" with \"12\" in our equation
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\n" ); document.write( "\"+%281%2F4%29%28x%29+%2B+5+=+%282%2F3%29%28x%29+\" = \"+%281%2F4%29%2812%29+%2B+5+=+%282%2F3%29%2812%29+\" = \"+%283%29+%2B+5+=+%288%29+\" = \"+3+%2B+5+=+8+\" = \"+8+=+8+\" (True)
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\n" ); document.write( "Your answer is \"+12+\"
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\n" ); document.write( "Hope I helped, Levi
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