Answer: 21 dimes.
Step-by-step explanation:
AI-generated answer
To find out how many dimes Ronda has, we need to set up an equation based on the information given.
Let's say Ronda has x dimes. Since each dime is worth 10 cents, the total value of the dimes can be calculated as 10x cents.
Ronda also has 25 coins in total, which means the remaining coins must be nickels. If we subtract the number of dimes (x) from the total number of coins (25), we can find the number of nickels, which is 25 - x.
The value of the nickels can be calculated as 5 times the number of nickels, so the total value of the nickels is 5(25 - x) cents.
The problem states that the total value of the coins is $2.30. We can convert this to cents by multiplying it by 100. So, $2.30 is equal to 230 cents.
Now, we can set up the equation: 10x + 5(25 - x) = 230.
Simplifying the equation, we get: 10x + 125 - 5x = 230.
Combining like terms, we have: 5x + 125 = 230.
Next, we can solve for x by subtracting 125 from both sides of the equation: 5x = 105.
Finally, divide both sides of the equation by 5 to find the value of x: x = 21.
Therefore, Ronda has 21 dimes.
