I have an even number of coins in my pcket exactly one third of them are dimes. Draw or stampo the coins i could have in my pocket. Record thir value.
To find out the different combinations of coins you could have in your pocket, we'll need to use some algebra. Let's go step by step:
1. Let's represent the total number of coins in your pocket with the variable "x". Since you have an even number of coins, x must be an even number.
2. Now, we know that exactly one-third of the coins are dimes. So the number of dimes will be (1/3) * x.
3. To find the number of other coins, we subtract the number of dimes from the total number of coins: x - (1/3) * x = (2/3) * x.
4. Since we know that dimes are worth 10 cents, we can calculate the value of dimes as 10 * (1/3) * x = (10/3) * x cents.
5. Now, we need to determine the possible combinations of other coins. Note that the value of other coins should be a multiple of 5 cents, as we don't have any other information about their denominations.
Here are a few possible combinations:
- If there are 6 coins in total (x = 6), then you would have 2 dimes and 4 other coins. The value of dimes is (10/3) * 2 = 20/3 cents.
The other coins can be 4 nickels, which have a total value of 20 cents.
- If there are 12 coins in total (x = 12), then you would have 4 dimes and 8 other coins. The value of dimes is (10/3) * 4 = 40/3 cents.
The other coins can be 8 nickels, which have a total value of 40 cents.
- If there are 18 coins in total (x = 18), then you would have 6 dimes and 12 other coins. The value of dimes is (10/3) * 6 = 60/3 cents.
The other coins can be 12 nickels, which have a total value of 60 cents.
These are just a few examples, and there are more possibilities depending on the value of x. You can continue this pattern to find other combinations according to your preferences.