A doctor collected 1/100 liter of blood from a patient to run some tests. The doctor determined that a drop of his blood, or about 1/000000 liter, contained 10000000 red blood cells. How many red blood cells did the entire sample contain?
Thanks guest, I got the same answer. :)
\(\mbox{The amount of blood collected is }10^{-2}\;L\\ \mbox{One drop}=\frac{1}{1000000 }= 10^{-6}\;L\\ 10,000,000=10^7 \mbox{ Red blood cells}\\ ~\\ In \;10^{-6}\;L\;of\; blood\; there\; is \;10^7\;red\;blood\;cells\\ In \;10^{-6}\times 10^4\;L\;of\; blood\; there\; is \;10^7\times 10^4\;red\;blood\;cells\\ In \;10^{-2}\;L\;of\; blood\; there\; is \;10^{11}\;red\;blood\;cells\\ \)
Since 1/100 of a liter contains 1/1,000,000 liters of blood drops, the number of blood drops in 1/100 of a liter contains: (1/100) / (1/1,000,000)=10,000 blood drops. But, since each blood drop contains 10,000,000 red blood cells, therefore: 10,000 X 10,000,000=1.0 X 10^11 red blood cells in 1/100 liter of blood.
Thanks guest, I got the same answer. :)
\(\mbox{The amount of blood collected is }10^{-2}\;L\\ \mbox{One drop}=\frac{1}{1000000 }= 10^{-6}\;L\\ 10,000,000=10^7 \mbox{ Red blood cells}\\ ~\\ In \;10^{-6}\;L\;of\; blood\; there\; is \;10^7\;red\;blood\;cells\\ In \;10^{-6}\times 10^4\;L\;of\; blood\; there\; is \;10^7\times 10^4\;red\;blood\;cells\\ In \;10^{-2}\;L\;of\; blood\; there\; is \;10^{11}\;red\;blood\;cells\\ \)