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dep. She has five fewer nickels than dimes. Total deposit was $55.40. How many dimes did she deposit.

Word problem in algebra 
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1 Answer

if d = number of dimes, then number of nickels n = d - 5
 
so if n = d - 5, you can sub "d - 5" for n in the second equation:
 
5n + 10d = 5540  (5n because nickels are 5 cents each, 10d because dimes are 10 cents each, and 5540 is $55.40 in cents--let's do it all in cents for now...)
 
anyway, because of the substitution, we can say that:
 
5 (d - 5) + 10d = 554o, so
 
5d - 25 + 10d = 5540, so
 
15d = 5565, so
 
d = 371 dimes.  371 dimes equals 3710 cents. Subtract that from 5540 cents to get 1830 worth of nickels.
 
1830 divided by 5 = 366 nickels
 
Hope this helps!
 
Matt in NY