document.write( "Question 1134964: Mary's penny bank is 1/4
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document.write( "full. After she adds 360
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document.write( "pennies, it is 5/8
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document.write( "full. How many pennies can Mary's bank hold? \n" );
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Algebra.Com's Answer #752466 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "1/4 = 0.25 \n" ); document.write( "5/8 = 0.625\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = number of pennies the bank can hold \n" ); document.write( "0.25*x = amount of pennies we start with \n" ); document.write( "0.25x+360 = amount of pennies we have after adding on 360 more \n" ); document.write( "0.625x = amount of pennies in the bank if 5/8 full\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The expressions 0.25x+360 and 0.625x represent the same thing because they both represent the bank being 5/8 full, so we have this equation: \n" ); document.write( "0.25x+360 = 0.625x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for x \n" ); document.write( "0.25x+360 = 0.625x \n" ); document.write( "0.25x+360-0.25x = 0.625x-0.25x subtract 0.25x from both sides \n" ); document.write( "360 = 0.625x-0.25x \n" ); document.write( "360 = 0.375x \n" ); document.write( "0.375x = 360 \n" ); document.write( "0.375x/0.375 = 360/0.375 Divide both sides by 0.375 \n" ); document.write( "x = 960\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: The penny bank can hold 960 pennies \n" ); document.write( " \n" ); document.write( " |