Question

Find an equivalent ratio with 40 pounds of trash.

Recyclable material (lb)

75

Trash (Ib) 100

Answer 1

30lbs of recyclables.

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:

`Trash:Recyclable=100:75\\\\\therefore (Trash)/(Recyclable)=(100)/(75)=(40)/(x)\\\\100x=40* 75\\\\x=30\ lbs`

Hence, thee are 30lbs of recyclables in 40lbs of trash.