document.write( "Question 557257: Sara has a collection of nickels, dimes and quarters worth $30.75. she has 15 more dimes than nickels and 3 times as many quarters as dimes. How many coins of each kind does she have? \n" ); document.write( "
Algebra.Com's Answer #362538 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Nickels =x \n" ); document.write( "dimes= x+15 \n" ); document.write( "Quarters = 3(x+15)\r \n" ); document.write( "\n" ); document.write( "Total = 30.75 \n" ); document.write( "conver to cents = 3075\r \n" ); document.write( "\n" ); document.write( "5x+10(x+15)+25*3(x+15)= 3075\r \n" ); document.write( "\n" ); document.write( "5x+10x+150+75x+1125=3075\r \n" ); document.write( "\n" ); document.write( "90x+1275=3075 \n" ); document.write( "90x=3075-1275 \n" ); document.write( "90x=1800 \n" ); document.write( "/90 \n" ); document.write( "x= 20 number of nickels \n" ); document.write( "x+15 = 20 +15 = 35 dimes \n" ); document.write( "3(x+15) => 3*35=105 quarters \n" ); document.write( " |