Question

Recycling Center A processes aluminum at a rate of 100 pounds per hour, while Recycling Center B processes aluminum at a rate of 2 tons per week. Assuming that both centers operate all day every day, which center processes aluminum faster, and why?
A:Recycling Center A processes aluminum faster; Recycling Center B’s rate is about 12 pounds per hour.
B:Recycling Center A processes aluminum faster; Recycling Center B’s rate is about 24 pounds per hour.
C:Recycling Center B processes aluminum faster; its rate is about 120 pounds per hour.
D:Recycling Center B processes aluminum faster; its rate is about 240 pounds per hour.

Answer 1

Correct answer: B
The first thing to be done is to convert the 2 tons into pounds.
1 pound is equal to 0.0005 tons (US). So, 2 tons divided by 0.0005 will give us the aluminium pounds per week that are processed by the Recycling Centre B.
$\frac{2}{0.0005}$=4000
Recycling Centre B processes 4000 pounds/week. In order to compare to Recycling Centre A, we need to find the rate in pounds per hour. To do so divide the 4000 pounds by 168 (24×7 = number of hours in a week).
$\frac{4000}{168}$≈23.8
The Recycling Centre B processes about 23.8 pounds/hour whereas the Recycling Centre A processes 100pounds/hour.

Answer 2

C: Recycling center B processes aluminum faster; It’s rate is About 120 Pounds per hour