document.write( "Question 1196792: A student makes a $10.50 purchase at the bookstore with a $20 bill. The store has no bills and gives a change in quarters and 50 Cent pieces. There are 30 coins and all. How many of each kind are there? \n" ); document.write( "

Algebra.Com's Answer #829784 by ikleyn(52802) $\"\"$ $\"About$

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document.write( "x = number of 50-cent pieces\r\n" );
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document.write( "(30-x) = the number of quarters.\r\n" );
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document.write( "Write the total money equation\r\n" );
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document.write( "    50x + 25*(30-x) = 950  cents  (the total change)\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    50x + 750 - 25x = 950\r\n" );
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document.write( "       25x          = 950 - 750\r\n" );
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document.write( "       25x          =    200\r\n" );
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document.write( "         x          =    200/25 = 8.\r\n" );
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document.write( "ANSWER.  8 50-cent pieces and 30-8 =22 quarters.\r\n" );
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document.write( "CHECK.  8*50 + 22*25 = 950 cents,  total change.   ! Correct !\r\n" );
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