document.write( "Question 1024814: Angel was counting the coins in his bank. He found that he had 70 coins, which totaled $13.30. If he only had quarters and dimes, how many of each coin did he have?
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Algebra.Com's Answer #640178 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make dimes = x \n" ); document.write( "quarters = y \n" ); document.write( "x + y = 70......(1) \n" ); document.write( "10x + 25y = 1330.....(2)Multiply Eq(1) by 25 \n" ); document.write( "25x + 25y = 1750....(1) \n" ); document.write( "10x + 25y = 1330.....(2) \n" ); document.write( "Subtract Eq(2) from Eq(1) \n" ); document.write( "15x = 420 \n" ); document.write( "x = 420/15 \n" ); document.write( "x = 28 \n" ); document.write( "Substitute x = 28 into Eq(1) \n" ); document.write( "x + y = 70 \n" ); document.write( "28 + y = 70 \n" ); document.write( "y = 70 - 28 \n" ); document.write( "y = 42 \n" ); document.write( "angel had 28 dimes and 42 quarters. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |