athy's customer base is 2/3 residential and 1/3 business . if she has 350 residential customers, how many total customers does she have?

Respuesta :

yesi98
The answer is 525

2/3 of residential = 350 customers. so you divide 350 by 2. Which is 175. 175•3= 525

Answer:  She has 525 costumers.

Step-by-step explanation:

We know that the costumer base is  [tex]\frac{2}{3}[/tex] residential and  [tex]\frac{1}{3}[/tex] business. This means that:

[tex]\frac{2}{3}=350[/tex] residential customers

Let be "x" the total costumers Athy has and "y" the number of business costumers.

Then "x" must be:

[tex]x=350+y[/tex]

Then, in order to find "y" , we need to multiply the number of residential costumers by  [tex]\frac{1}{3}[/tex] and divide the product by [tex]\frac{2}{3}[/tex] :

[tex]y=\frac{(350)(\frac{1}{3})}{\frac{2}{3} }\\\\y=175[/tex]

Substituting we get that "x" is:

 [tex]x=350+175=525[/tex] costumers

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