document.write( "Question 1200308: If Qasim has 4 times as many quarters as nickels and they have a combined value of 735 cents, how many of each coin does he have? \n" ); document.write( "

Algebra.Com's Answer #834415 by ikleyn(52832) $\"\"$ $\"About$

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\n" ); document.write( "If Qasim has 4 times as many quarters as nickels and they have a combined value
\n" ); document.write( "of 735 cents, how many of each coin does he have?
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document.write( "Let x be the number of nickels. \r\n" );
document.write( "Then the number of quarters is 4x.\r\n" );
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document.write( "Write the total money equation\r\n" );
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document.write( "    25 *(4x) + 5x = 735 cents.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    100x + 5x = 735\r\n" );
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document.write( "        105x  = 735\r\n" );
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document.write( "           x  = 735/105 = 7.\r\n" );
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document.write( "ANSWER.  7 nickels and 7*4 = 28 quarters.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It can be solved mentally (the same solution as above, only re-told in wording form).\r
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document.write( "Group coins in the sets in a way that each group consists of 1 nickel and 4 quarters.\r\n" );
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document.write( "According to the problem, such grouping is possible.\r\n" );
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document.write( "Each group is worth  4*25 + 5 = 105 cents.\r\n" );
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document.write( "The number of group is  735/105 = 7.\r\n" );
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document.write( "It gives the answer above.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved in two ways, for your better understanding.\r
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