Answer :

To determine how much each of the three men will receive from a total of [tex]$32,000, which is to be divided in the ratio 4:3:1, we need to follow these steps: 1. Understand the problem and the given ratio: The ratio 4:3:1 tells us the proportion of the total amount each man gets. This means that if we divide the total amount into parts based on this ratio, the first man gets 4 parts, the second man gets 3 parts, and the third man gets 1 part. 2. Sum of the ratio parts: Add the parts of the ratio together to find the total number of parts. \[ 4 + 3 + 1 = 8 \] So, the total ratio parts equal 8. 3. Calculate the value of one part: To find out how much one part is worth, divide the total amount by the total number of parts. \[ \text{Value of one part} = \frac{32000}{8} = 4000 \] 4. Determine each man’s share: Now multiply the value of one part by the number of parts each man gets according to the ratio. - First man: \[ \text{Share of the first man} = 4 \times 4000 = 16000 \] - Second man: \[ \text{Share of the second man} = 3 \times 4000 = 12000 \] - Third man: \[ \text{Share of the third man} = 1 \times 4000 = 4000 \] Therefore, the amounts each man receives are: - The first man receives $[/tex]16,000,
- The second man receives [tex]$12,000, - The third man receives $[/tex]4,000.