Final answer:
The sum of the ratio parts is 11, so each part is worth P425. Each child receives: P425, P1,275, P1,275, and P1,700.
Step-by-step explanation:
The question asks us to divide P4,675 among four children in the ratio 1:3:3:4. To find out how much each child receives, we first add up the parts of the ratio: 1+3+3+4 = 11 parts in total. Then, we divide the total amount by the number of parts: P4,675 ÷ 11 = P425 per part. Now we can multiply each part of the ratio by P425 to find out how much each child will receive:
- For the first child: 1 part × P425 = P425
- For the second child: 3 parts × P425 = P1,275
- For the third child: 3 parts × P425 = P1,275
- For the fourth child: 4 parts × P425 = P1,700
Therefore, the children will receive P425, P1,275, P1,275, and P1,700 respectively.