document.write( "Question 156862: The depth of a pool varies directly with how many gallons of water it will hold. If a 6 foot deep pool holds 10,000 gallons of water, a pool that holds 12,500 gallons of water should be __________inches deep, according to this theory. ?? \n" ); document.write( "

Algebra.Com's Answer #115654 by jim_thompson5910(35256) $\"\"$ $\"About$

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We have the follow ratio:\r
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document.write( "number of gallons of pool # 1       number of gallons of pool # 2\r\n" );
document.write( "---------------------------    =   -------------------------------\r\n" );
document.write( "    depth of pool # 1                     depth of pool # 2\r\n" );
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\n" ); document.write( "\n" ); document.write( " $\"10000%2F6=12500%2Fx\"$ Plug in the given information\r
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\n" ); document.write( "\n" ); document.write( " $\"%2810000%2F6%29%2Ax=12500\"$ Multiply both sides by x\r
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\n" ); document.write( "\n" ); document.write( " $\"10000%2Ax=12500%2A6\"$ Multiply both sides by 6\r
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\n" ); document.write( "\n" ); document.write( " $\"10000%2Ax=75000\"$ Multiply\r
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\n" ); document.write( "\n" ); document.write( " $\"x=75000%2F10000\"$ Divide both sides by 10000\r
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\n" ); document.write( "\n" ); document.write( " $\"x=7.5\"$ Divide \r
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\n" ); document.write( "\n" ); document.write( "So a pool that is 7.5 feet deep will hold 12,500 gallons of water \n" ); document.write( "

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