Final answer:
To solve this problem, let's define variables for the number of dimes and nickels. Then, set up an equation representing the total value of the coins. Solve the equation to find the number of dimes and nickels.
Step-by-step explanation:
To solve this problem, let's start by defining variables for the number of dimes and nickels. Let's say the number of dimes is x. Since there are 3 times as many nickels as dimes, the number of nickels would be 3x.
The total value of the coins is $25, so we can set up an equation: 0.10x + 0.05(3x) = 25.
Simplifying the equation, we get 0.10x + 0.15x = 25. Combining like terms, we have 0.25x = 25. Dividing both sides of the equation by 0.25, we get x = 100.
Therefore, there are 100 dimes and 3 times as many nickels, which is 300 nickels.