i have equal numbers of pennies, nickels ,dimes, and quarters. The total value of my coins is $2.05. Altogether i have ? coins. Please tell me how you did it and show your work please so i understand.

You must have at least five pennies.

Take it from there.

add up the values of 1 of each coin:

1+5+10+25 = 41

Now, how many 41's in 205?
That's how many of each coin you have.

so, now you can total up how many coins you have in total.

To solve this problem, let's go step by step and calculate the number of each coin.

Let's start by assigning variables to represent the number of coins for each denomination:
- Pennies: P
- Nickels: N
- Dimes: D
- Quarters: Q

Since you mentioned that you have an equal number of pennies, nickels, dimes, and quarters, we can represent this as:
P = N = D = Q

Now, let's calculate the value of each coin in cents:
- Penny value: 1 cent
- Nickel value: 5 cents
- Dime value: 10 cents
- Quarter value: 25 cents

Since we are given that the total value of all the coins is $2.05, we can represent this as an equation:

Total value in cents = (P * penny value) + (N * nickel value) + (D * dime value) + (Q * quarter value)

205 = (P * 1) + (N * 5) + (D * 10) + (Q * 25)

Now, substitute the equation with the fact that P = N = D = Q:

205 = (P * 1) + (P * 5) + (P * 10) + (P * 25)

Let's simplify this equation:

205 = P + 5P + 10P + 25P
205 = 41P

Now, solve for P by dividing both sides of the equation by 41:

P = 205 / 41
P = 5

This means that you have 5 coins of each denomination (P = N = D = Q = 5). Now, let's calculate the total number of coins:

Total number of coins = P + N + D + Q
Total number of coins = 5 + 5 + 5 + 5
Total number of coins = 20.

So, altogether, you have 20 coins.