document.write( "Question 957316: Sally has $5.20 in quarters and dimes, she has 1/4 more quarters than dimes. How many quarters does she have? \n" ); document.write( "
Algebra.Com's Answer #584993 by macston(5194)![]() ![]() You can put this solution on YOUR website! As written, this problem results in fractional coins. \n" ); document.write( "Q=quarters; D=dimes \n" ); document.write( "Q=1.25D \n" ); document.write( "$0.10D+$0.25Q=$5.20 Substitute for Q. \n" ); document.write( "$0.10D+$0.25(1.25D)=$5.20 \n" ); document.write( "$0.10D+$0.3125D=$5.20 \n" ); document.write( "$0.4125D=$5.20 \n" ); document.write( "D=12.6 ANSWER 1: She has 12.6 dimes \n" ); document.write( "Q=1.25D=1.25(12.6)=15.8 ANSWER 2: She has 15.75 quarters. \n" ); document.write( "CHECK: \n" ); document.write( "$0.10D+$0.25Q=$5.20 \n" ); document.write( "$0.10(12.6)+$0.25(15.75)=$5.20 \n" ); document.write( "$1.26+$3.94=$5.20 \n" ); document.write( "$5.20=$5.20 \n" ); document.write( " |