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Hi,
total of 50 coins
Let x and (50-x) represent the number of quarters and nickels respectively
question states***
25x + 5(50-x) = 410 cents
20x = 160
x = 8, the number of quarters. Nickels number 42. (50-8)
CHECKING our Answer
8*25 + 5*42 = 200 + 210 = 410 cents = $4.10