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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 $75\%$ 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? $\newline$ Choose $1$ answer: $\newline$ (A) $1.35$ pounds $\newline$ (B) $2.03$ pounds $\newline$ (C) $3.38$ pounds $\newline$ (D) $11.25$ pounds

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Add and subtract decimals: word problems

Full solution

Q. 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?

\newline

Choose

1

answer:

\newline

(A)

1.35

pounds

\newline

(B)

2.03

pounds

\newline

(C)

3.38

pounds

\newline

(D)

11.25

pounds

Calculate Recyclable Solid Waste: Calculate the amount of solid waste that can be recycled according to the study. $\newline$ $75$ % of the solid waste can be recycled, so we multiply the total amount of solid waste produced by the percentage that can be recycled. $\newline$ Calculation: $4.5$ pounds $\times 75\% = 4.5 \times 0.75$ $\newline$ Calculation result: $3.375$ pounds
Calculate Current Recycling Amount: Calculate the amount of solid waste that the average person currently recycles. $\newline$ $30$ \% of the solid waste is recycled by the average person, so we multiply the total amount of solid waste produced by the percentage that is currently recycled. $\newline$ Calculation: $4.5$ pounds $\times 30\% = 4.5 \times 0.30$ $\newline$ Calculation result: $1.35$ pounds
Calculate Additional Recyclable Amount: Calculate the difference between the amount that could be recycled and the amount that is currently recycled. $\newline$ We subtract the amount currently recycled from the amount that could be recycled to find the additional amount that could be recycled. $\newline$ Calculation: $3.375$ pounds - $1.35$ pounds $\newline$ Calculation result: $2.025$ pounds

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