Divide 500 in the ratio 2:3:5.

Answer

To divide 500 in the ratio 2:3:5, we can follow these steps:

### Step 1: Understand the Ratio
The ratio 2:3:5 means that for every 2 parts of the first quantity, there are 3 parts of the second quantity and 5 parts of the third quantity.

### Step 2: Calculate the Total Parts
Add the parts of the ratio together:
\[ 2 + 3 + 5 = 10 \]
So, the total number of parts is 10.

### Step 3: Determine the Value of Each Part
To find the value of one part, divide the total amount (500) by the total number of parts (10):
\[ \text{Value of one part} = \frac{500}{10} = 50 \]

### Step 4: Calculate Each Quantity
Now, we can calculate the amounts corresponding to each part of the ratio:
- For the first quantity (x), which corresponds to 2 parts:
\[ x = 2 \times 50 = 100 \]

- For the second quantity (y), which corresponds to 3 parts:
\[ y = 3 \times 50 = 150 \]

- For the third quantity (z), which corresponds to 5 parts:
\[ z = 5 \times 50 = 250 \]

### Step 5: Write the Final Answer
Thus, the amounts are:
- x = 100
- y = 150
- z = 250

### Summary
The division of 500 in the ratio 2:3:5 results in:
- 100
- 150
- 250

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