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Sam’s Swimming Pool Cleaning has an annual gross profit of $88,400. Sam charges $25 per week for each of his customers for 52 weeks. His annual operating expenses, including labor and supplies, are $48,000. How many customers does Sam’s Swimming Pool Cleaning have?
a.
17
b.
35
c.
68
d.
105


The answer is C

Respuesta :

MissPhiladelphia
To get how many customers Sam has, write an equation that will relate to the gross profit. Let n be the customers. Since for 52 weeks, Sam charges $25 per week per person, multiply n by the number of weeks and the charge. The equation is written as $88,400 = 52 weeks x $25 per week x n persons. Divide $88,400 by the product of 52 weeks and the $25 charge. The answer will be 68. The annual operating expense $48,000 is just there to make confusion. 

Answer:  Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Annual gross profit of Sam's Swimming pool cleaning = $88400

So, Gross profit of Sam will be

[tex]\$88400[/tex]

Now, according to question, Sam charges $25 per week for each of his customers for 52 weeks .

So, Total amount he charges for each of his customers will be

[tex]25\times 52=$1300[/tex]

So, Number of customers Sam's Swimming Pool Cleaning have is given by

[tex]\frac{88400}{1300}\\\\=68[/tex]

Hence, Option 'C' is correct.