document.write( "Question 551536: A student makes a$9.25 purchase at the book store with $20 bill. The store has no bills, the change is in quarters and fifty cent pieces. There are 30 coins. How many is quarters and how many fifty cent pieces?
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document.write( "A disc jockey must play 12 commercial spots during 1 hr. of a radio show. Each comm. is either 30 sec. or 60 sec. long. If the total comm. time during 1 hr. is 8 min, How many 30 sec. comm. were played that hour? How many 60sec. comm? \n" );
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Algebra.Com's Answer #359761 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Quarters x numbers \n" ); document.write( "fifty cent coins y numbers \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 30 .............1 \n" ); document.write( "25 x + 50 y = 1075 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -50 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-50 x -50 y = -1500 \n" ); document.write( "25 x 50 y = 1075 \n" ); document.write( "Add the two equations \n" ); document.write( "-25 x = -425 \n" ); document.write( "/ -25 \n" ); document.write( "x = 17 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 30 \n" ); document.write( "17 + 1 y = 30 \n" ); document.write( " 1 y = 30 -17 \n" ); document.write( " 1 y = 13 \n" ); document.write( " y = 13 \n" ); document.write( "Quarters 17 numbers \n" ); document.write( "fifty cent coins 13 numbers \r \n" ); document.write( "\n" ); document.write( "------------\r \n" ); document.write( "\n" ); document.write( "30 sec comm x numbers \n" ); document.write( "60 sec comm y numbers \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 12 .............1 \n" ); document.write( "30 x + 60 y = 480 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -60 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-60 x -60 y = -720 \n" ); document.write( "30 x 60 y = 480 \n" ); document.write( "Add the two equations \n" ); document.write( "-30 x = -240 \n" ); document.write( "/ -30 \n" ); document.write( "x = 8 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 12 \n" ); document.write( "8 + 1 y = 12 \n" ); document.write( " 1 y = 12 -8 \n" ); document.write( " 1 y = 4 \n" ); document.write( " y = 4 \n" ); document.write( "30 sec comm 8 numbers \n" ); document.write( "60 sec comm 4 numbers \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |