document.write( "Question 963429: Sally has twice as many dimes as quarters. The total value is $12.50. How many dimes does she have? \n" ); document.write( "
Algebra.Com's Answer #588574 by macston(5194)![]() ![]() You can put this solution on YOUR website! Sally has 2 dimes for each quarter, so the coins are grouped in $0.45 groups. \n" ); document.write( "However, $12.50 is not divisible by 45 cents, so you will wind up with a fraction of a coin. \n" ); document.write( "Q=quarters; D=dimes=2Q \n" ); document.write( "$0.10D+$0.25Q=$12.50 Substitute for D. \n" ); document.write( "$0.10(2Q)+$0.25Q=$12.50 \n" ); document.write( "$0.20Q+$0.25Q=$12.50 \n" ); document.write( "$0.45Q=$12.50 Divide each side by $0.45 \n" ); document.write( "Q=27.78...She had 27.78 quarters. \n" ); document.write( "D=2Q=55.56 ANSWER: She had 55.56 dimes. \n" ); document.write( "CHECK: \n" ); document.write( "$0.10D+$0.25Q=$12.50 \n" ); document.write( "$0.10(55.56)+$0.25(27.78)=$12.50 \n" ); document.write( "$5.56+$6.94=$12.50 \n" ); document.write( "$12.50=$12.50 \n" ); document.write( " |