document.write( "Question 1114732: Sunita has a coin collection of dimes, quarters, and silver dollars. The number of quarters is 5 less then three-fourths of the number of dimes. The number of silver dollars is 7 more than five-eighths of the number of dimes. There are 116 coins in all. How many dimes, quarters, and silver dollars does Sunita have? \n" ); document.write( "

Algebra.Com's Answer #729652 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Sunita has a coin collection of dimes, quarters, and silver dollars. \r\n" );
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document.write( "The number of quarters is 5 less then three-fourths of the number of dimes.\r\n" );
document.write( "q = (3/4)d - 5\r\n" );
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document.write( "The number of silver dollars is 7 more than five-eighths of the number of dimes.\r\n" );
document.write( "s = (5/8)d+7\r\n" );
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document.write( "There are 116 coins in all.\r\n" );
document.write( "s + q + d = 116\r\n" );
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document.write( "Substitute for \"q\" and \"s\"  and solve for \"d\"::\r\n" );
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document.write( "(5/8)d+7 + (3/4)d - 5 + d = 116\r\n" );
document.write( "(5/8)d   + (6/8)d + d = 116 - 7 + 5\r\n" );
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document.write( "(19/8)d = 114\r\n" );
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document.write( "d =  = 48\r\n" );
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document.write( "Then  q = (3/4)d - 5 = (3/4)*48 - 5 = 36-5 = 31.\r\n" );
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document.write( "      s = (5/8)d+7   = (5/8)*48 + 7 = 30 + 7 = 37.\r\n" );
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document.write( "Answer.  48 dimes,  31 quarters  and  37 silver dollars.\r\n" );
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