document.write( "Question 1154912: You have $144 in one-, five-, and ten-dollar bills. There are 35 bills in total, and two more ten-dollar bills than five-dollar bills. How many bills of each type are there? \n" ); document.write( "

Algebra.Com's Answer #777442 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            I will make you surprised.\r
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\n" ); document.write( "\n" ); document.write( "            I will solve the problem using only one single unknown.\r
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\n" ); document.write( "\n" ); document.write( "            Watch my steps (!)\r
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document.write( "Let x be the number of the 5-dollar bills.\r\n" );
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document.write( "Then the number of the 10-dollar bills is (x+2), according to the condition.\r\n" );
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document.write( "Next, the one-dollar bills are the rest  (35 - x - (x+2)) = 33 - 2x  banknotes.\r\n" );
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document.write( "Now, I write the total money equation\r\n" );
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document.write( "    1*(33-2x) + 5x + 10*(x+2) = 144.\r\n" );
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document.write( "Next, I simplify it\r\n" );
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document.write( "    33 - 2x + 5x + 10x + 20 = 144\r\n" );
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document.write( "    -2x + 5x + 10x = 144 - 33 - 20\r\n" );
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document.write( "     13x           = 91\r\n" );
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document.write( "       x           =  = 7.\r\n" );
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document.write( "ANSWER.  7 (seven) 5-dollar bills;  7+2 = 9 10-dollar bills  and  the rest  35 - 7 - 9 = 19 one-dollar bills.\r\n" );
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document.write( "CHECK.  7*5 + 9*10 + 19*1 = 144.      ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "This problem, and many hundreds similar problems, are designed, are destined and are expected to be solved \r
\n" ); document.write( "\n" ); document.write( "by 6-7 grade students, who don't know any systems of equations, and who need to be touched/(to be trained) on \r
\n" ); document.write( "\n" ); document.write( "how to solve them (the problems) using one single equation in one single unknown.\r
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\n" ); document.write( "\n" ); document.write( "It is why such problems are/were created, at all.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - More complicated coin problems\r
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\n" ); document.write( "\n" ); document.write( "    - More complicated word problems to solve using a single linear equation \r
\n" ); document.write( "\n" ); document.write( "    - Advanced word problems to solve using a single linear equation\r
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