Question 1118429

(1) N = D + 6    (number of nickels was 6 more than the number of dimes)
(2) 5N+10D = 555   (Brody collected $5.55  =  555 cents = 5*number of nickels + 10*number of dimes)
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Substituting for N from (1) into (2):
5(D+6) + 10D = 555
15D + 30 = 555
  15D = 525
      D = 35 —>  N = 41

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Ans:   There were 41 nickels (and 35 dimes)
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Check: 
            41 = 35+6 (ok)
           5(41) + 10(35) = 205 + 350 = 555  (=$5.55)  (ok)