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? 235 425 525 None of the above. Explain it.<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To determine Cathy’s total number of customers, we can use the information that her customer base is divided into two-thirds residential and one-third business. Given that she has 350 residential customers, we can set up the following equation:<\/p>\n\n\n\n [ To find the total number of customers, we solve for it by dividing both sides of the equation by two-thirds:<\/p>\n\n\n\n [ Therefore, Cathy has a total of 525 customers.<\/p>\n\n\n\n Explanation:<\/strong><\/p>\n\n\n\n Conclusion:<\/strong><\/p>\n\n\n\n By understanding the fractional distribution of Cathy’s customer base and applying basic algebraic principles, we determined that Cathy has a total of 525 customers. This method ensures accuracy and provides a clear understanding of how the total is derived from the given information.<\/p>\n","protected":false},"excerpt":{"rendered":" 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? 235 425 525 None of the above. Explain it. 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\\frac{2}{3} \\times \\text{Total Customers} = 350
]<\/p>\n\n\n\n
\\text{Total Customers} = \\frac{350}{\\frac{2}{3}} = 350 \\times \\frac{3}{2} = 525
]<\/p>\n\n\n\n\n
\n
\n
\n
[
\\frac{2}{3} \\times T = 350
]<\/li>\n\n\n\n\n
\n
[
T = \\frac{350}{\\frac{2}{3}} = 350 \\times \\frac{3}{2} = 525
]<\/li>\n\n\n\n\n
\n
[
\\frac{1}{3} \\times 525 = 175
]<\/li>\n\n\n\n
[
350 \\, (\\text{residential}) + 175 \\, (\\text{business}) = 525
]<\/li>\n\n\n\n