Question

Given that an astronomical unit is 1.5e8km and a light year about 10^3 km, how many AU are in a light year?

Answer 1

There are approximately 66666 astronimic units in a light year

Step-by-step explanation:

This is a simple exercise of ratios.

Since the astronomic unit is 1.5e8 km and the light year is 10^13 km (the question had an error) we can write:

`1 = (x * AU)/(1 LY)`

So:

`x = (1 LY)/(1 AU) = (1e13 km)/(1.5e8 km) = 666666`