SOLUTION: The electrician was upset. She knew that "b" batteries would power "d" circuits for 11 days, but she had "d" +8 circuits to power. How many days would "r" batteries last? Pleas

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Question 1156997: The electrician was upset. She knew that "b" batteries would power "d" circuits for 11 days, but she had "d" +8 circuits to power. How many days would "r" batteries last?
Please show steps thank you!!

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

From the given data, the rate of consumption is  b%2F%2811%2Ad%29  batteries per one circuit per day,  in the first case.


In the other case, the rate of consumption is  b%2F%28r%2A%28d%2B8%29%29.


Assuming the the rate of consumption is the same in both cases, we can write this equation


    b%2F%2811%2Ad%29 = b%2F%28r%2A%28d%2B8%29%29.


In this proportion, the variable "r" is unknown.


Cancel "b" in both sides and express  "r"  from the proportion  r = %2811%2Ad%29%2F%28d%2B8%29.    ANSWER


Now, when the formula is obtained, you can easily interpret it by many different ways . . . 

Solved.