Question: A factory reduces its waste by 20% each year. If it starts with 5000 kg of waste, how much waste will it produce after 2 years?
Options:
3200 kg
3600 kg
4000 kg
2800 kg
Correct Answer: 3600 kg
Solution:
Year 1: 5000 kg * 0.8 = 4000 kg; Year 2: 4000 kg * 0.8 = 3200 kg
A factory reduces its waste by 20% each year. If it starts with 5000 kg of waste
Practice Questions
Q1
A factory reduces its waste by 20% each year. If it starts with 5000 kg of waste, how much waste will it produce after 2 years?
3200 kg
3600 kg
4000 kg
2800 kg
Questions & Step-by-Step Solutions
A factory reduces its waste by 20% each year. If it starts with 5000 kg of waste, how much waste will it produce after 2 years?
Step 1: Start with the initial amount of waste, which is 5000 kg.
Step 2: Calculate the waste after the first year. To do this, multiply the initial waste by 0.8 (which represents a 20% reduction). So, 5000 kg * 0.8 = 4000 kg.
Step 3: Now, take the waste from the first year, which is 4000 kg, and calculate the waste for the second year. Again, multiply by 0.8. So, 4000 kg * 0.8 = 3200 kg.
Step 4: The final amount of waste after 2 years is 3200 kg.
Percentage Reduction – Understanding how to apply a percentage reduction to an initial quantity over multiple periods.
Compound Reduction – Recognizing that the waste reduction is compounded each year, not a flat reduction.
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