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The problem states that Cathy’s customer base is divided into two categories: 2/3 residential and 1/3 business. Cathy has 350 residential customers, and the question asks how many total customers she has.

### Let the total number of customers be \( x \).

- According to the problem, 2/3 of her total customer base is residential, so:
  \[
  \frac{2}{3} \times x = 350
  \]

### Solving for \( x \):
\[
x = \frac{350 \times 3}{2}
\]
\[
x = \frac{1050}{2} = 525
\]

Thus, Cathy has a total of **525 customers**.

The correct answer is **525**.

Would you like further details, or do you have any other questions? Here are 5 related questions you might want to explore:

1. How many business customers does Cathy have if her total is 525?
2. If the residential customer base grows by 10%, how many residential customers will she have?
3. What fraction of Cathy's customer base is business after 50 more residential customers join?
4. How would you calculate the percentage of business customers Cathy has?
5. If Cathy had 450 residential customers, how many total customers would she have?

**Tip:** When solving word problems involving fractions, always try to express the total in terms of the fraction provided, as that often makes the calculation easier!

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

Find out how to calculate the total number of customers in a business when given the fraction of residential customers and their quantity. This problem involves understanding fractions, proportional relationships, and basic algebra, suitable for students in Grades 6-8.

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