How do I solve this?

A mixture of nuts has a ratio of 5 parts peanuts to 3 parts cashews. How many ounces of cashews are in a 24 oz mixture?
I am thinking 9 oz., but how do you write a problem to solve this

Use a proportion. Cross multiply and solve for x.

3/8 = x/24

8x = 72

x = 9

To solve this problem, you can follow these steps:

Step 1: Determine the total number of parts in the ratio.
The ratio states that there are 5 parts peanuts to 3 parts cashews. Therefore, the total number of parts in the ratio is 5 + 3 = 8.

Step 2: Divide the total number of parts by the total number of ounces in the mixture.
Since the total number of parts in the ratio is 8 and the total number of ounces in the mixture is 24, you can divide 24 oz by 8 parts to find the portion per part: 24/8 = 3 oz.

Step 3: Calculate the number of ounces of cashews.
You determined in step 2 that each part of the mixture is equal to 3 oz. Since the ratio specifies that there are 3 parts of cashews, you can multiply 3 oz by 3 parts to find the number of ounces of cashews: 3 oz/part * 3 parts = 9 oz.

Therefore, there are 9 ounces of cashews in a 24-ounce mixture.

To solve this problem, you can use the concept of ratios.

Let's say the number of parts of peanuts in the mixture is represented by P, and the number of parts of cashews is represented by C.

According to the given ratio, the mixture has 5 parts of peanuts to 3 parts of cashews. This can be written as P:C = 5:3.

To find the number of ounces of cashews in a 24 oz mixture, we need to determine the value of C.

Since the ratio of P:C is 5:3, we can set up the equation:

P/C = 5/3

Now, let's solve for the value of C:

(Cross-multiply)
3P = 5C

(Divide both sides by 5)
C = (3P)/5

We also know that the total mixture weighs 24 oz, so the sum of the parts of peanuts and cashews must equal 24 oz:

P + C = 24

Now, substitute the value of C obtained above into the equation:

P + (3P)/5 = 24

To solve for P, we can simplify the equation:

(5P + 3P)/5 = 24

(8P)/5 = 24

Multiply both sides by 5:

8P = (24)(5)

8P = 120

Divide both sides by 8:

P = 15

Now, substitute the value of P back into the equation P + C = 24:

15 + C = 24

C = 24 - 15

C = 9

Therefore, there are 9 ounces of cashews in a 24 oz mixture.

So, your initial guess of 9 oz is indeed correct!