Answer:
The number of nickels and quarters in the bank are 87 and 56, respectively.
Explanation:
Let's denote the number of nickels in the bank as "n" and the number of quarters as "q". Then we can set up a system of two equations based on the given information:
n + q = 143 (equation 1, representing the total number of coins)
0.05n + 0.25q = 18.35 (equation 2, representing the total value of the coins)
To solve this system, we can use substitution or elimination method. Let's use elimination method here:
Multiplying equation 1 by 0.05, we get:
0.05n + 0.05q = 7.15 (equation 3, obtained by multiplying equation 1 by 0.05)
Subtracting equation 3 from equation 2, we get:
0.2q = 11.2
Dividing both sides by 0.2, we get:
q = 56
Substituting this value of q into equation 1, we get:
n + 56 = 143
n = 87
Therefore, there are 87 nickels and 56 quarters in the bank.
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