Question 1028601
Call the number of quarters and nickels, q and n.
Then we write
q + n = 76  and the value equation is
25q + 5n = 1080 (we work in cents)
Now multiply the top one by five and subtract...we get
25q + 5n = 1080
-(5q + 5n = 380)
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20q = 700
q = 35 quarters  which means there are
n = 41 nickels