Question

In 10 days, the earth picks up 2.6 x 10⁸ pounds of dust from the atmosphere. How much dust will it pick up in 45 days?

Answer 1

Let the weight of dust picked up is x pounds

Time(days)	10	45
Weight of dust(pounds)	2.6 x 108	x

\(\frac{10}{2.6\times 10^8}\) = \(\frac{45}{x}\)

On cross multiplication, we get

10 x x = 45 x 2.6 x 10⁸

x = \(\frac{45\times 2.6\times 10^8}{10}\) = 11.7 x 10⁸

Therefore the weight of dust picked up is 11.7 × 10⁸ pounds