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If a farmer harvested 650 kg of wheat this year, which is 250% of last year's harvest, what was last year's harvest?
- a)400 kg
- b)260 kg
- c)500 kg
- d)300 kg
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If a farmer harvested 650 kg of wheat this year, which is 250% of last...
Let last year's harvest be x kg.
250% = 250/100 = 2.5, so 650 = 2.5 × x.
Thus x = 650 ÷ 2.5 = 260 kg.
Answer: 260 kg.
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Community Answer
If a farmer harvested 650 kg of wheat this year, which is 250% of last...
Understanding the Problem
To find last year's harvest, we need to analyze the given information about this year's wheat harvest.
Current Year Harvest
- The farmer harvested 650 kg of wheat this year.
- This amount represents 250% of last year's harvest.
Determining Last Year's Harvest
To find last year's harvest, we can set up the equation based on the percentage given:
- Let X be last year's harvest.
- According to the problem, 650 kg is equal to 250% of X.
Equation Setup
- We convert 250% into a decimal:
- 250% = 250/100 = 2.5.
- The equation can now be formulated as:
- 650 = 2.5 * X
Solving the Equation
To solve for X, we rearrange the equation:
- X = 650 / 2.5
Calculating this gives:
- X = 650 / 2.5 = 260 kg.
Conclusion
Thus, last year's harvest was 260 kg.
The correct answer is option B: 260 kg.
To find last year's harvest, we need to analyze the given information about this year's wheat harvest.
Current Year Harvest
- The farmer harvested 650 kg of wheat this year.
- This amount represents 250% of last year's harvest.
Determining Last Year's Harvest
To find last year's harvest, we can set up the equation based on the percentage given:
- Let X be last year's harvest.
- According to the problem, 650 kg is equal to 250% of X.
Equation Setup
- We convert 250% into a decimal:
- 250% = 250/100 = 2.5.
- The equation can now be formulated as:
- 650 = 2.5 * X
Solving the Equation
To solve for X, we rearrange the equation:
- X = 650 / 2.5
Calculating this gives:
- X = 650 / 2.5 = 260 kg.
Conclusion
Thus, last year's harvest was 260 kg.
The correct answer is option B: 260 kg.
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