document.write( "Question 1152423: Sonja has some nickels and dimes. If she has 30 coins worth a total of $2.00, how many of each type of coin does she have? \n" ); document.write( "

Algebra.Com's Answer #774433 by math_helper(2461) $\"\"$ $\"About$

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document.write( "n + d = 30
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document.write( "5n + 10d = 200  (cents)\r
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document.write( "Substituting for n:
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document.write( "5(30-d) + 10d = 200
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document.write( "150-5d + 10d = 200
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document.write( "5d = 50
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document.write( "d=10 ==>  n=20\r
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document.write( "Ans: Sonja has 10 dimes and 20 nickels
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document.write( "Check: 10*10+20*5 = 100+100 = 200 (=$2.00)  (ok) \n" );
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