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1 September, 02:14

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.

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  1. 1 September, 03:06
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    The number of full time employees is 17 and the number of part time employee is 9

    Step-by-step explanation:

    Step 1:

    Let f represent the number of full time employee and p represent the number of part time employee

    Total number of employees = 26

    Hence we have f + p = 26

    Step 2:

    Wages of full time employee = $275

    Wages of part time employee = $140

    Total wages paid by Jeds = $ 5935

    Hence we have 275 f + 140 p = 5935

    Step 3:

    Solving the equations obtained in step 1 and step 2 we have

    f + p = 26, Multiplying by 275 = > 275 f + 275 p = 7150

    275 f + 140 p = 5935

    Subtracting equation 2 from 1 we have

    135 p = 1215 = > p = 9

    Substituting this in f + p = 26 gives, f + 9 = 26

    So f = 17

    Step 4:

    Answer:

    The number of full time employees is 17 and the number of part time employee is 9
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