To divide $200 in the ratio 7:3, you can follow these steps:
1. **Calculate the total parts in the ratio:** Add the parts of the ratio (7 + 3 = 10). This tells you that the total ratio is divided into 10 parts.
2. **Determine the value of one part:** Divide the total amount by the total number of parts (200 ÷ 10 = $20). This gives you the value of one part in the ratio.
3. **Allocate the amounts according to the ratio:** Multiply the value of one part by the respective parts of the ratio to find out how much each part should receive. In this case:
- For the 7 parts: 7 parts x $20 = $140
- For the 3 parts: 3 parts x $20 = $60
Therefore, to divide $200 in the ratio 7:3, you would allocate $140 to the 7-part portion and $60 to the 3-part portion.
