let the number of nickels be x
then the number of pennies is (2x - 36)
5x + 2x-36 = 258
7x = 294
x = 42
so 42 nickels and 48 pennies
check: 42(5) = 48 = 258
A) 38 pennies
B) 42 pennies
C) 48 pennies
D) 2 pennies
then the number of pennies is (2x - 36)
5x + 2x-36 = 258
7x = 294
x = 42
so 42 nickels and 48 pennies
check: 42(5) = 48 = 258
First, we know that the total value of the coins in the bank is $2.58. Since each penny has a value of $0.01 and each nickel has a value of $0.05, we can write the equation:
0.01P + 0.05N = 2.58 (equation 1)
Second, we're told that the number of pennies is 36 less than 2 times the number of nickels. This can be written as:
P = 2N - 36 (equation 2)
Now, we can solve these two equations simultaneously to find the values of P and N.
Substitute equation 2 into equation 1:
0.01(2N - 36) + 0.05N = 2.58
Simplify and solve for N:
0.02N - 0.36 + 0.05N = 2.58
0.07N = 2.94
N = 2.94 / 0.07
N ≈ 42
Therefore, there are approximately 42 nickels in the bank. Now, we can substitute this value back into equation 2 to find the number of pennies:
P = 2(42) - 36
P = 84 - 36
P = 48
Thus, there are 48 pennies in the bank.
Therefore, the correct answer is C) 48 pennies.