Question 1013305
Call the number of nickels and dimes she has, n and d.  Then we have
n + d = 27  and the value equation is
5n + 10d = 175  (use cents)
Now multiply the top one by 5 and subtract from the second...we get...
5n + 10d = 175
-(5n + 5d = 135)
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5d = 40
d = 8 dimes
n = 19 nickels