Find the number of each kind of object in the collection

Miranda has 24 CDs in her collection. Of those CDs, 10 are pop CDs. She has 6 more country CDs than jazz CDs. How many country CDs does Miranda have?

24 = P + J + C

P = 10

C = 6 + J

Substitute into the original equation.

24 = 10 + J + 6 + J

Cann you solve for J to find Jazz. Then you can find Country by adding 6 to your Jazz number.

yes

To find the number of country CDs Miranda has, we need to calculate the difference between the total number of CDs and the number of pop CDs and jazz CDs.

Let's start with the number of pop CDs, which is 10.

Next, we need to find the number of jazz CDs. Since Miranda has 6 more country CDs than jazz CDs, we can set up an equation to represent this relationship: jazz CDs + 6 = country CDs.

Let's use the letter 'j' to represent the number of jazz CDs. So, j + 6 = country CDs.

Now, we know that the total number of CDs Miranda has is 24. We can write an equation to represent this: pop CDs + jazz CDs + country CDs = 24.

Substituting the values we have so far, we get 10 + j + (j + 6) = 24.

Simplifying the equation, we have 10 + 2j + 6 = 24.

Combining like terms, we get 2j + 16 = 24.

Subtracting 16 from both sides, we have 2j = 8.

Dividing both sides by 2, we find that j = 4.

So, Miranda has 4 jazz CDs.

Now, let's find the number of country CDs. Substituting j = 4 into the equation j + 6 = country CDs, we get 4 + 6 = country CDs.

Simplifying, we find that Miranda has 10 country CDs.

Therefore, Miranda has 10 country CDs.

To find the number of country CDs Miranda has, we can follow these steps:

1. Start with the total number of CDs Miranda has, which is 24.
2. Subtract the number of pop CDs from the total: 24 - 10 = 14.
3. Let's assume the number of jazz CDs is "x".
4. According to the problem, Miranda has 6 more country CDs than jazz CDs.
So the number of country CDs would be "x + 6".
5. The sum of the number of jazz CDs and the number of country CDs should be equal to 14.
Therefore, x + (x + 6) = 14.
6. Simplify the equation: 2x + 6 = 14.
7. Subtract 6 from both sides of the equation: 2x = 8.
8. Divide both sides of the equation by 2: x = 4.

Therefore, Miranda has 4 jazz CDs. And since she has 6 more country CDs than jazz CDs, she has 4 + 6 = 10 country CDs.