Answer :
To divide the numbers in the given ratios, we follow these steps:
### a) Divide R125 in the ratio 1:3:1
1. Find the total parts of the ratio:
The ratio is 1:3:1. Adding these parts together gives us:
[tex]\(1 + 3 + 1 = 5\)[/tex] parts in total.
2. Calculate each part's value:
- For the first part (1 part):
[tex]\(\frac{1}{5} \times 125 = 25\)[/tex]
- For the second part (3 parts):
[tex]\(\frac{3}{5} \times 125 = 75\)[/tex]
- For the third part (1 part):
[tex]\(\frac{1}{5} \times 125 = 25\)[/tex]
So, R125 is divided as R25, R75, and R25.
### b) Divide 36 kg in the ratio 1:3:5
1. Find the total parts of the ratio:
The ratio is 1:3:5. Adding these parts together gives us:
[tex]\(1 + 3 + 5 = 9\)[/tex] parts in total.
2. Calculate each part's value:
- For the first part (1 part):
[tex]\(\frac{1}{9} \times 36 = 4\)[/tex]
- For the second part (3 parts):
[tex]\(\frac{3}{9} \times 36 = 12\)[/tex]
- For the third part (5 parts):
[tex]\(\frac{5}{9} \times 36 = 20\)[/tex]
So, 36 kg is divided as 4 kg, 12 kg, and 20 kg.
### a) Divide R125 in the ratio 1:3:1
1. Find the total parts of the ratio:
The ratio is 1:3:1. Adding these parts together gives us:
[tex]\(1 + 3 + 1 = 5\)[/tex] parts in total.
2. Calculate each part's value:
- For the first part (1 part):
[tex]\(\frac{1}{5} \times 125 = 25\)[/tex]
- For the second part (3 parts):
[tex]\(\frac{3}{5} \times 125 = 75\)[/tex]
- For the third part (1 part):
[tex]\(\frac{1}{5} \times 125 = 25\)[/tex]
So, R125 is divided as R25, R75, and R25.
### b) Divide 36 kg in the ratio 1:3:5
1. Find the total parts of the ratio:
The ratio is 1:3:5. Adding these parts together gives us:
[tex]\(1 + 3 + 5 = 9\)[/tex] parts in total.
2. Calculate each part's value:
- For the first part (1 part):
[tex]\(\frac{1}{9} \times 36 = 4\)[/tex]
- For the second part (3 parts):
[tex]\(\frac{3}{9} \times 36 = 12\)[/tex]
- For the third part (5 parts):
[tex]\(\frac{5}{9} \times 36 = 20\)[/tex]
So, 36 kg is divided as 4 kg, 12 kg, and 20 kg.
