document.write( "Question 1073786: You are saving dimes and quarters in your piggy bank. You have 42 coins that have a total value of $6.75. How many dimes and quarters do you have in your piggy bank? \n" ); document.write( "
Algebra.Com's Answer #688571 by addingup(3677)![]() ![]() You can put this solution on YOUR website! d+q = 42 subtract d from both sides: q = 42-d \n" ); document.write( "and \n" ); document.write( "0.10d+0.25q = 6.75 substitute here for q: \n" ); document.write( "0.10d+0.25(42-d) = 6.75 \n" ); document.write( "0.10d+10.50-0.25d = 6.75 \n" ); document.write( "-0.15d = -3.75 divide both sides by -0.15 and remember -/- = + \n" ); document.write( "d = 25 So you have 25 dimes and: \n" ); document.write( "42-25 = 17 quarters \n" ); document.write( "--------------------------------- \n" ); document.write( "Check: \n" ); document.write( "0.10(25) = 2.50 \n" ); document.write( "0.25(17) = 4.25 \n" ); document.write( "Total . . 6.75 Correct \n" ); document.write( " \n" ); document.write( " |