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?

Answer 1

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.

Solution :-

we know that,

→ 1 pound = 0.0005 tons (US).

So,

→ 0.0005 tons = 1 pound

→ 1 ton = (1/0.0005) pound

→ 2 ton = (1/0.0005) * 2 = (20000)/5 = 4000 pounds .

we can say that, Recycling Centre B processes 4000 pounds/week.

Now,

→ Recycling Center B processes aluminum per week = 4000 pounds .

So,

→ Recycling Center A processes aluminum per day = (4000/7) pounds . { 1 week = 7 Days. } .

Therefore,

→ Recycling Center A processes aluminum per hour = (4000/7) ÷ 24 = (4000/7) * (1/24) = (4000/7 * 24) = 23.8 pounds . { 1 day = 24 Hours. }

Hence,

→ Rate of Recycling Centre A = 100 pounds / hour.

→ Rate of Recycling Centre B = 23.8 ≈ 24 pounds / hour.

∴ B) Recycling Center A processes aluminum faster; Recycling Center B’s rate is about 24 pounds per hour.

Answer 2

Answer:

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Step-by-step explanation: