How to divide a quantity in a given ratio (easy example - divide $100 in the ratio 2:3)

To divide a quantity in a given ratio, you'll need to follow these steps:

### Step 1: Understand the Ratio
Understand the given ratio. A ratio expresses the relationship between two or more quantities. For example, if the ratio is 2:3, it means that for every 2 parts of the first quantity, there are 3 parts of the second quantity.

### Step 2: Calculate the Total Parts
Add the parts of the ratio to find the total number of parts. In the example of a 2:3 ratio, the total number of parts is 2 + 3 = 5.

### Step 3: Distribute the Quantity
Distribute the total quantity among the parts according to the ratio. To do this, divide the quantity by the total number of parts and then multiply by each part of the ratio.

**Formula:**
Share = (Quantity ÷ Total parts) × Number of parts in the ratio

### Example:
Let's say you have $500 and you want to divide it in the ratio 2:3.

**Total Parts:**
2 + 3 = 5

**Share for the first part (2):**
Share = 500 ÷ 5 × 2 = 200

**Share for the second part (3):**
Share = 500 ÷ 5 × 3 = 300

So, in the ratio 2:3, $200 would go to the first part, and $300 would go to the second part.

### Step 4: Verify
Add up the individual shares to ensure they equal the total quantity. In our example, 200 + 300 = 500, which helps confirm that the quantities have been divided correctly according to the given ratio. To be sure, the ratio in the answer should be equivalent to the original ratio. 200:300 is equivalent to 2:3.

These steps can be adapted for any given ratio, ensuring that the quantities are distributed proportionally.