document.write( "Question 837607: Kendra has $13.20 in dimes and quarters. If she has 4 times as many quarters as dimes, how many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #504676 by mxgirl22(39)![]() ![]() You can put this solution on YOUR website! Kendra has $13.20 in dimes and quarters. If she has 4 times as many quarters as dimes, how many of each coin does she have?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------- \n" ); document.write( "1st.) Label variables \n" ); document.write( "d=dimes \n" ); document.write( "q=quarters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------ \n" ); document.write( "2nd.) Get information from second sentence: 4 times as many quarters as dimes. \n" ); document.write( "So:\r \n" ); document.write( "\n" ); document.write( "q=4d\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------ \n" ); document.write( "3rd.) Make equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.10d+(4d*0.25)=$13.20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------\r \n" ); document.write( "\n" ); document.write( "4th.) Solve for \"d\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.10d+(4d*0.25)=$13.20 \n" ); document.write( "0.10d+1d=$13.20 \n" ); document.write( "1.10d=$13.20 \n" ); document.write( "1.10d/1.10=$13.20/1.10 \n" ); document.write( "d=12\r \n" ); document.write( "\n" ); document.write( "------------------------\r \n" ); document.write( "\n" ); document.write( "5th.) Solve for \"q\". Use the equation we made in step 2 and plug in the value we got for \"d\" in step 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "q=4d \n" ); document.write( "q=4(12) \n" ); document.write( "q=48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------ \n" ); document.write( "6th) Check work, using values we got for \"q\" and \"d\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.10d+(0.25q)=$13.20 \n" ); document.write( "0.10(12)+[0.25(48)]=$13.20 \n" ); document.write( "0.10(12)+[12]=$13.20 \n" ); document.write( "0.10(12)+[12]=$13.20 \n" ); document.write( "1.20+[12]=$13.20 \n" ); document.write( "$13.20=$13.20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Checks!\r \n" ); document.write( "\n" ); document.write( "------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Kendra has 48 quarters and 12 dimes.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |