document.write( "Question 341951: Jody has a collection of 116 coins consisting of dimes, quarters, and silver dollars. The number of quarters is 5 less than three-fourths the number of dimes. The number of silver dollars is 7 more than five-eighths the number of dimes. How many coins of each kind are in her collection? \n" ); document.write( "
Algebra.Com's Answer #244818 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Jody has a collection of 116 coins consisting of dimes, quarters, and silver dollars. \n" ); document.write( "d + q + $ = 116 \n" ); document.write( ": \n" ); document.write( " The number of quarters is 5 less than three-fourths the number of dimes. \n" ); document.write( "q = \n" ); document.write( ": \n" ); document.write( " The number of silver dollars is 7 more than five-eighths the number of dimes. \n" ); document.write( "$ = \n" ); document.write( ": \n" ); document.write( "How many coins of each kind are in her collection? \n" ); document.write( "Using the 1st equation replace q & $ \n" ); document.write( "d + \n" ); document.write( "Common denominator \n" ); document.write( "d + \n" ); document.write( "d + \n" ); document.write( "d + \n" ); document.write( "Multiply by 8 to get rid of the denominator, results: \n" ); document.write( "8d + 11d = 912 \n" ); document.write( "d = \n" ); document.write( "d = 48 dimes \n" ); document.write( "then \n" ); document.write( "q = \n" ); document.write( "q = 36 - 5 \n" ); document.write( "q = 31 quarters \n" ); document.write( "and \n" ); document.write( "$ = \n" ); document.write( "$ = 37 silver dollars \n" ); document.write( ": \n" ); document.write( "Check total: 48 + 31 + 37 = 116 \n" ); document.write( " \n" ); document.write( " |