Question 597798: A company developed a cure for a disease that inflicts 12% of the world's population (World Population is 6,600,000,000). A single dose of 1mL of cure per person is enough. If the cure is produced in 50 gallon vats, how many vats would be needed??
Thanks so much and I would like to know how to do this problem for my Exam that is coming up :)
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! 12% of 6.6 billion is 0.12*6.6 = 0.792
So 12% of 6.6 billion is 792 million.
Therefore, 792 million people have this disease.
-------------------------------------------------------
Now we need to convert 50 gallons into milliliters.
It turns out that
1 gallon = 3785.41178 mL
Note: this is something you either memorize or you have to look up.
Multiply both sides by 50 to get
50*1 gallon = 50*3785.41178 mL
50 gallon = 189270.589 mL
So 50 gallons converts to 189,270.589 mL. Round down to get 189,270
This means that one 50 gallon vat can cure 189,270 people.
Now divide 792 million (7.92 x 10^8) by 189,270 (1.8927 x 10^5) to get
(7.92 x 10^8)/(1.8927 x 10^5)
(7.92/1.8927) x ((10^8)/(10^5))
4.18449833571089 x 10^(8-5)
4.18449833571089 x 10^3
and then convert this answer to standard decimal notation to get 4,184.4983357108
and then round up to get the final answer of 4,185 vats
|
|
|
