Bonzo has some nickles and some quarters. 52 coins all together. The total value of the coins is $8.20. Find the number of pickles and the number of quarters.

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Let the number of nickles be n and number of quarters be q

n + q = 52

Hence n = 52 -q

Value equation is determined as under in terms of cents

5 n + 25 q = 820

5 (52-q) + 25q = 820

260 - 5q +25q = 820

20q = 560

q = 28

Hence n = 52-28 = 24

Number of nickels = 24 and number of quarters = 28

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