Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $25 per month and Plan B costs $75 per month per customer. If the company’s average revenue per customer per month is $100, then what percent of the company's revenue comes from customers with Plan A? Select the correct option.
A) 25%
B) 30%
C) 37.5%
D) 56.25%
E) 50%
If there are A customers with plan A, and B customers with plan B, then the total revenue is $25A + $75B.   Since the average customer pays $100, we know that   $100 = ($25A + $75B) / (A + B)   $100(A + B) = ($25A + $75B)   $100A + $100B = $25A + $75B   $75A = -$25B   A = 3B.   Since there are 3 times as many $75 clients as $75 clients, for every $75 received from Plan B customers, 3($25) = $75 is received from Plan A customers, and the percent of revenue from customers with Plan A is:   $75/($75 + $75) = $75/$150 = 50%.   The correct answer is choice (50%).
<result>E</result>
Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $25 per month and Plan B costs $75 per month per customer. If the company’s average revenue per customer per month is $100, then what percent of the company's revenue comes from customers with Plan A?