Question

jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week. Jed pays a total of $5935 in wages each How many full-time and part-time employees does he have? Let f= number of fulltime employees, and p= number of part-time employees.

Answer 1

Answer:

$f=17\\p=9$

Step-by-step explanation:

Let

$f= Full-time\\p=Part-time$

Full time rates-$275, Part-time rates-$140

The problem can be expressed as:

$f+p=26...eqtn1\\275f+140p=5935....eqtn2$

Express eqtn1 in terms of f,$f=26-p$

Substitute f value in eqtn 2.

$=>275(26-p)+140p=5935\\7150-275p+140p=5935\\1215=135p\\p=9\\f=26-9=17$

Therefore,  jeds has 17 fulltime and 9 parttime employees.