HELP HELP

I need to work this questions.

Six hundred pennies are placed in a row. If every other penny is replaced by a nickel and every third coin us replaced by a quarter, what is the final value of the 600 coins?

Take twelve pennies.
Replace every other penny with a nickel.
Replace every third coin with a quarter.

PPP PPP PPP PPP
PnP nPn PnP nPn
PnQ npQ PnQ nPQ

Now notice how after six, it repeats? So all you have to do is figure the value of the first six, and multiply by 100.

300 nickels, 200 quarters, 100 pennies

very nice solution, I like it!!!

I am sorry but I don't get it.

$66.00 dollors

No problem! Let me explain it step by step.

To solve this problem, we need to determine the final value of the 600 coins after replacing every other penny with a nickel and every third coin with a quarter.

Let's begin by taking twelve pennies and arranging them in a row:

PPP PPP PPP PPP

Now, we will replace every other penny with a nickel:

PnP nPn PnP nPn

At this point, we have replaced six pennies with six nickels.

Next, we will replace every third coin (both pennies and nickels) with a quarter:

PnQ npQ PnQ nPQ

Now, we have replaced four coins with quarters.

Here comes the interesting part. If you look closely, you'll notice that after these twelve coins, the sequence PnQ npQ PnQ nPQ repeats.

So, to find the final value of the 600 coins, we need to determine the value of the first sequence (PnQ npQ PnQ nPQ), calculate its total value, and then multiply it by 100 (since the sequence repeats 100 times within the 600 coins).

In the first sequence, we have:

- 3 pennies (value: 3 cents)
- 4 nickels (value: 4 * 5 = 20 cents)
- 5 quarters (value: 5 * 25 = 125 cents)

Adding these values together, we get a total value of 3 + 20 + 125 = 148 cents for the first sequence.

Since the first sequence repeats 100 times within the 600 coins, we multiply the total value of the sequence by 100:

148 cents * 100 = 14,800 cents.

Therefore, the final value of the 600 coins is $148.