document.write( "Question 1058014: Sierra has fifteen fewer pennies than quarters. Sierra has a total of 25 pennies and quarters. How much money does she have?
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Algebra.Com's Answer #673035 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "1.  \"Sierra has fifteen fewer pennies than quarters.\"  ====>  P = Q - 15\r\n" );
document.write( "     where P = the number of pennies, and Q = the number of quarters.\r\n" );
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document.write( "2.  \"Sierra has a total of 25 pennies and quarters.\"  ====>  P + Q = 25.\r\n" );
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document.write( "You have two equations:\r\n" );
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document.write( "P = Q - 15,   (1)   and\r\n" );
document.write( "P + Q = 25.   (2)\r\n" );
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document.write( "From (1), substitute the expression P = Q-15 into (2), replacing P. You will get\r\n" );
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document.write( "(Q-15) + Q = 25.\r\n" );
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document.write( "Simplify and solve \r\n" );
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document.write( "2Q - 15 = 25,\r\n" );
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document.write( "2Q = 25 + 15,\r\n" );
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document.write( "2Q = 40  ====>  Q =  = 20.\r\n" );
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document.write( "The number of quarters is 20.\r\n" );
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document.write( "Hence, the number of pennies is 25-20 = 5.\r\n" );
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document.write( "Answer. 5 pennies and 20 quarters.\r\n" );
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