document.write( "Question 1127286: A jar contains half dollars and quarters there are 30 coins in all the total value of coins is $8.75 how many quarters are in the jar \n" ); document.write( "
Algebra.Com's Answer #743657 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Let half dollars be d and quarters be q \n" ); document.write( "d + q = 30 thus, q = 30 - d \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "0.5d + 0.25q = 8.75 substitute for q: \n" ); document.write( "0.5d + 0.25(30 - d) = 8.75 \n" ); document.write( "0.5d + 7.5 - 0.25d = 8.75 \n" ); document.write( "0.25d = 1.25 \n" ); document.write( "d = 5 so there are 5 half dollars in the jar \n" ); document.write( "Therefore, there are 30 - 5 = 25 quarters in the jar \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "Check: \n" ); document.write( "25 x 0.25 = 6.25 \n" ); document.write( "5 x 0.5 = 2.5 \n" ); document.write( "----------------- \n" ); document.write( "Total . . 8.75 Correct \n" ); document.write( " \n" ); document.write( " |