Question #b0ef9

1 Answer
Sep 17, 2015

That depends on how many pounds you have.


Since you didn't specify how many pounds you have, I'll show you how to find the number of micrograms you get in one pound.

The first thing to do here is convert pounds to kilograms. You know that #"1 kg" = "2.20462262 lb"#, so if you start with #"1 lb"#, you will have

#1color(red)(cancel(color(black)("lb"))) * "1 kg"/(2.20462262color(red)(cancel(color(black)("lb")))) = "0.4536 kg"#

Now all you have to do is convert kilograms to micrograms. To do that, use the fact that #"1 kg" = 10^9mu"g"#. This will get you

#0.45361color(red)(cancel(color(black)("kg"))) * (10^9mu"g")/(1color(red)(cancel(color(black)("kg")))) = 4.5 * 10^8mu"g"#

So, if you have five pounds, you can use the exact same conversion factors to get you to micrograms

#5color(red)(cancel(color(black)("lb"))) * (1color(red)(cancel(color(black)("kg"))))/(2.20462262color(red)(cancel(color(black)("lb")))) * (10^9mu"g")/(1color(red)(cancel(color(black)("kg")))) = 5 * 4.5 * 10^8mu"g" = 2.3 * 10^9mu"g"#