Answer:
30lbs of recyclables.
Step-by-step explanation:
-Let x be the corresponding lbs of recyclables to 40lbs of trash.
-Given that for every 100lb of trash, 75lb is recyclable.
-We determine the ratio of trash to recyclables and use it to calculate the amount correspond to 40lbs of trash:
[tex]Trash:Recyclable=100:75\\\\\therefore \frac{Trash}{Recyclable}=\frac{100}{75}=\frac{40}{x}\\\\100x=40\times 75\\\\x=30\ lbs[/tex]
Hence, thee are 30lbs of recyclables in 40lbs of trash.
