SOLUTION: A biologist wants to determine the blood volume of a small animal. It has a solution with 4% of a certain inert chemical compound. Inject 2.5 cm^3 of that solution into the animal'

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Question 1161934: A biologist wants to determine the blood volume of a small animal. It has a solution with 4% of a certain inert chemical compound. Inject 2.5 cm^3 of that solution into the animal's blood and wait until it has mixed well with the animal's blood. Take a small sample and the analysis indicates 0.2% of the inert product. What is the volume in cm^3 of the blood that the animal has?
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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Let V be the volume under the problem's question, in cubic centimeters.


Then you have this equation to find V


    0.04*2.5 = 0.002*(V+2.5),


saying that the amount of the inert chemical is the same before and after.


From the equation,


    V = %280.04%2A2.5-+0.002%2A2.5%29%2F0.002 = %280.1+-+0.005%29%2F0.002 = 0.095%2F0.002 = 95%2F2 = 47.5 cm^3.     ANSWER

Solved.