document.write( "Question 105844: I am on vacation and doing independent study and this problem is giving me a headache. Could you please help?\r
\n" ); document.write( "\n" ); document.write( "Four time the sum of the distance from Apia to Austin, Texas and the distance from Apia and Noumea is about 47,000 kilometers. How far is Austin?\r
\n" ); document.write( "\n" ); document.write( "The distance from Apia and Noumea is 2,480 kilometers\r
\n" ); document.write( "\n" ); document.write( "Here is what I have tried --\r
\n" ); document.write( "\n" ); document.write( "x= Austin\r
\n" ); document.write( "\n" ); document.write( "4x + 2480 = 47,000
\n" ); document.write( "4x = 47,000 - 2480
\n" ); document.write( "4x = 44520
\n" ); document.write( "x = 11130\r
\n" ); document.write( "\n" ); document.write( "I know the answer is 9270 (teacher gave me the answers)\r
\n" ); document.write( "\n" ); document.write( "Could you please help
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Algebra.Com's Answer #77035 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let x=distance from Apia to Austin, y=Apia to Noumea\r
\n" ); document.write( "\n" ); document.write( "The sum of these distances is written as \"x%2By\", and 4 times the sum is \"4%28x%2By%29\". Now set \"4%28x%2By%29\" equal to the total distance 47,000\r
\n" ); document.write( "\n" ); document.write( "\"4%28x%2By%29=47000\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x%2B2480%29=47000\" Since we know the distance from Apia to Noumea is 2480 Km, we can plug in \"y=2480\"\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2B4%2A2480=47000\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2B9920=47000\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"4x=47000-9920\" Subtract 9,920 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"4x=37080\" Subtract\r
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\n" ); document.write( "\n" ); document.write( "\"x=37080%2F4\" Divide both sides by 4 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x=9270\" Divide\r
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\n" ); document.write( "\n" ); document.write( "So the distance from Apia to Austin is 9,270 Km
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