Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $75 per month and Plan B costs $175 per month per customer. If the company’s average revenue per customer per month is $150, then what percent of the company's revenue comes from customers with Plan A?  Choose the most appropriate option.
A) 25% B) 30% C) 37.5% D) 56.25% E) 75%
We can show this algebraically:   If there are A customers with plan A, and B customers with plan B, then the total revenue is $75A + $175B.   Since the average customer pays $150, we know that   $150 = ($75A + $175B) / (A + B)   $150(A + B) = ($75A + $175B)   $150A + $150B = $75A + $175B   $75A = $25B   3A = B.   Since there are 1/3 times as many $75 clients as $175 clients, for every $175 received from Plan B customers, 3($75) = $75 is received from Plan A customers, and the percent of revenue from customers with Plan A is:   $75/($75 + $175)= 30%.   The correct answer is choice (30%).
<result>B</result>
Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $75 per month and Plan B costs $175 per month per customer. If the company’s average revenue per customer per month is $150, then what percent of the company's revenue comes from customers with Plan A?