To solve this problem, we need to find the individual salaries of three employees whose salary ratio is 3:5:7, given that their total combined salary is [tex]$75,000.
1. Identify the total ratio units:
The given ratio is 3:5:7. First, we need to sum these ratio parts to find the total number of ratio units.
\[
\text{Total ratio units} = 3 + 5 + 7 = 15
\]
2. Determine the value of one ratio unit:
We know the total salary is $[/tex]75,000, and we need to distribute this total according to the 15 ratio units we identified. To find the value of one ratio unit, we divide the total salary by the total ratio units.
[tex]\[
\text{Value of one ratio unit} = \frac{75000}{15} = 5000
\][/tex]
3. Calculate each individual's salary:
- The first employee’s salary corresponds to 3 ratio units:
[tex]\[
\text{First employee's salary} = 3 \times 5000 = 15000
\][/tex]
- The second employee’s salary corresponds to 5 ratio units:
[tex]\[
\text{Second employee's salary} = 5 \times 5000 = 25000
\][/tex]
- The third employee’s salary corresponds to 7 ratio units:
[tex]\[
\text{Third employee's salary} = 7 \times 5000 = 35000
\][/tex]
4. Summary of salaries:
- First employee: [tex]$15,000
- Second employee: $[/tex]25,000
- Third employee: [tex]$35,000
Thus, the salaries of the three employees are $[/tex]15,000, [tex]$25,000, and $[/tex]35,000 respectively.
