document.write( "Question 1192263: A school cafeteria cashier has collected $243 in one-dollar, five-dollar,
\n" ); document.write( "and ten-dollar bills. The number of one-dollar bills is eight more than 20
\n" ); document.write( "times the number of ten-dollar bills. The cashier also has seven more
\n" ); document.write( "than twice the number of ten-dollar bills in five-dollar bills. How many
\n" ); document.write( "bills of each value does the cashier have? \n" ); document.write( "

Algebra.Com's Answer #824171 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "A school cafeteria cashier has collected $243 in one-dollar, five-dollar,
\n" ); document.write( "and ten-dollar bills. The number of one-dollar bills is eight more than 20
\n" ); document.write( "times the number of ten-dollar bills. The cashier also has seven more
\n" ); document.write( "than twice the number of ten-dollar bills in five-dollar bills. How many
\n" ); document.write( "bills of each value does the cashier have?
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document.write( "Let x be the number of the ten-dollar bills.\r\n" );
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document.write( "Then the number of one-dollar bills is (8+20x)\r\n" );
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document.write( "and  the number of five-dollar bills is  (7+2x).\r\n" );
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document.write( "Now write the total money equation\r\n" );
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document.write( "    243 = 10x + (8+20x) + 5*(7+2x).\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    243 = 10x + 8 + 20x + 35 + 10x\r\n" );
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document.write( "    243 = 40x + 43\r\n" );
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document.write( "    40x = 243 - 43\r\n" );
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document.write( "    40x =    200\r\n" );
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document.write( "      x =    200/40 = 5\r\n" );
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document.write( "ANSWER.  5 ten-dollar bills;  (8+20*5) = 108 one-dollar bills  and  (7+2*5) = 17 five-dollar bills.\r\n" );
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document.write( "CHECK.  5*10 + 108*1 + 17*5 = 243  total money.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "In a joking form, this problem is about finding three unknowns using only one equation . . . \r
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