document.write( "Question 201644: sarah has 27 coins,all quarters and nickles which add up to $6.55. how many quarters does she have ? \n" ); document.write( "
Algebra.Com's Answer #151884 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let N = the number of nickels and Q = the number of quarters. \n" ); document.write( "1) N+Q = 27 \"Sarah has 27 coins, all quarters (Q) and nickels (N)...\" \n" ); document.write( "2) $0.05N+$0.25Q = $6.55 \"...which add up to $6.55 \n" ); document.write( "Rewrite equation 1) as N = 27-Q and substitute this into equation 2), then solve for N. \n" ); document.write( "$(0.05)(27-Q)+$0.25Q = $6.55 Simplify the left side. \n" ); document.write( "$1.35-0.05Q+0.25Q = $6.66 Add/subtract the Q-terms on the left. \n" ); document.write( "$1.35+0.2Q = $6.55 Subtract $1.35 from both sides. \n" ); document.write( "0.2Q = $5.20 Divide both sides by 0.2 \n" ); document.write( "Q = 26 and N = 27-Q \n" ); document.write( "N = 27-26 = 1 \n" ); document.write( "Sarah has 1 nickel and 26 quarters. \n" ); document.write( " \n" ); document.write( " |