document.write( "Question 965383: In a jar of coins, there are a total of 24 coins of quarters and nickels. The value of the quarters equals the value of the nickels. Determine how many of each coin are in the jar. \n" ); document.write( "
Algebra.Com's Answer #590088 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "For every quarter there are 5 nickels, for a group of six coins. \n" ); document.write( "24/6=4 groups of 1 quarter and 5 nickels, so there are 4 quarters and 20 nickels in the jar. \n" ); document.write( ". \n" ); document.write( "For a more thorough mathematical solution: \n" ); document.write( "Q=number of quarters; N=number of nickels \n" ); document.write( "Q+N=24 \n" ); document.write( "N=24-Q Use this to substitute for N \n" ); document.write( "$0.25Q=$0.05N Substitute for N \n" ); document.write( "$0.25Q=$0.05(24-Q) \n" ); document.write( "$0.25Q=$1.20Q-$0.05Q Add $0.05Q to each side. \n" ); document.write( "$0.30Q=$1.20 Divide each side by $0.30 \n" ); document.write( "Q=4 ANSWER 1: There are four quarters. \n" ); document.write( "N=24-Q=24-4=20 ANSWER 2: There are 20 nickels. \n" ); document.write( " \n" ); document.write( " |