Question

In a piggy bank, there are pennies, nickels, dimes, and quarters that total $5.29 in value. If there are 3 times as many dimes as there are pennies, 1 more dime than nickels, and 2 more quarters than dimes, then how many nickels are in the piggy bank?

A. 25
B. 40
C. 35
D. 30

Answer 1

To find the number of nickels in the piggy bank, we can set up a system of equations and solve for the variables. Using the given information, we can determine that there are 35 nickels in the piggy bank.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let p represent the number of pennies, n represent the number of nickels, d represent the number of dimes, and q represent the number of quarters. The total value of the coins can be represented as:

0.01p + 0.05n + 0.10d + 0.25q = 5.29

Additionally, we know that:

d = 3p

d = n + 1

q = d + 2

We can substitute the values of d and q into the first equation to solve for p and n.

Using these equations, we can solve for p and find that p = 35. Therefore, there are 35 nickels in the piggy bank.