Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A study suggests that 
75% of household solid waste can be recycled. However, the average person only recycles 
30% of his or her solid waste. If the average person produces 4.5 pounds of solid waste a day, approximately how many more pounds of solid waste could be recycled compared to the amount they currently recycle?
Choose 1 answer:
(A) 1.35 pounds
(B) 2.03 pounds
(c) 3.38 pounds
(D) 11.25 pounds

A study suggests that 75% 75 \% of household solid waste can be recycled. However, the average person only recycles 30% 30 \% of his or her solid waste. If the average person produces 44.55 pounds of solid waste a day, approximately how many more pounds of solid waste could be recycled compared to the amount they currently recycle?\newlineChoose 11 answer:\newline(A) 11.3535 pounds\newline(B) 22.0303 pounds\newline(C) 33.3838 pounds\newline(D) 11.25 \mathbf{1 1 . 2 5} pounds

Full solution

Q. A study suggests that 75% 75 \% of household solid waste can be recycled. However, the average person only recycles 30% 30 \% of his or her solid waste. If the average person produces 44.55 pounds of solid waste a day, approximately how many more pounds of solid waste could be recycled compared to the amount they currently recycle?\newlineChoose 11 answer:\newline(A) 11.3535 pounds\newline(B) 22.0303 pounds\newline(C) 33.3838 pounds\newline(D) 11.25 \mathbf{1 1 . 2 5} pounds
  1. Determine recycling potential: Determine the amount of solid waste that can be recycled according to the study.\newlineThe study suggests that 75%75\% of household solid waste can be recycled. To find out how many pounds that is, we need to calculate 75%75\% of the average person's daily solid waste production.\newlineCalculation: 0.75×4.50.75 \times 4.5 pounds = 3.3753.375 pounds
  2. Calculate potential recycling amount: Determine the amount of solid waste the average person currently recycles.\newlineThe average person recycles 30%30\% of their solid waste. To find out how many pounds that is, we need to calculate 30%30\% of the average person's daily solid waste production.\newlineCalculation: 0.30×4.50.30 \times 4.5 pounds = 1.351.35 pounds
  3. Determine current recycling amount: Calculate the difference between the potential and current recycling amounts.\newlineTo find out how many more pounds could be recycled, we subtract the amount currently recycled from the amount that could be recycled according to the study.\newlineCalculation: 3.375 pounds1.35 pounds=2.025 pounds3.375 \text{ pounds} - 1.35 \text{ pounds} = 2.025 \text{ pounds}\newlineSince we are looking for an approximate value and the options are given to two decimal places, we can round this to 2.03 pounds2.03 \text{ pounds}.

More problems from Interpret parts of quadratic expressions: word problems