Math Problem Statement

In an orchard, 70.3 kg of guavas is picked by the evening. Over the next hour, 5 workers add 3 kg 300 g of guavas each and 6 workers remove 8.1 kg of bad fruits each. What is the total weight of the remaining guavas?

Solution

To find the total weight of the remaining guavas in the orchard, we'll break down the problem into the following steps:

  1. Initial weight of guavas:

    • The initial weight is given as 70.3 kg.
  2. Weight added by 5 workers:

    • Each of the 5 workers adds 3 kg 300 g (which is 3.3 kg) of guavas.
    • The total weight added by the workers is 5×3.35 \times 3.3 kg. 5×3.3kg=16.5kg5 \times 3.3 \, \text{kg} = 16.5 \, \text{kg}
  3. Weight removed by 6 workers:

    • Each of the 6 workers removes 8.1 kg of bad fruits.
    • The total weight removed by the workers is 6×8.16 \times 8.1 kg. 6×8.1kg=48.6kg6 \times 8.1 \, \text{kg} = 48.6 \, \text{kg}
  4. Calculating the remaining weight:

    • Start with the initial weight: 70.3 kg.
    • Add the weight added by the workers: 70.3+16.570.3 + 16.5 kg. 70.3kg+16.5kg=86.8kg70.3 \, \text{kg} + 16.5 \, \text{kg} = 86.8 \, \text{kg}
    • Subtract the weight removed by the workers: 86.848.686.8 - 48.6 kg. 86.8kg48.6kg=38.2kg86.8 \, \text{kg} - 48.6 \, \text{kg} = 38.2 \, \text{kg}

Total weight of the remaining guavas: 38.2 kg.

Would you like more details or have any questions?


Here are 5 related questions for further exploration:

  1. If 2 more workers each added 4 kg of guavas, what would be the new total weight?
  2. How many kilograms of guavas need to be removed to leave exactly 30 kg?
  3. What would be the result if one more worker added 2.5 kg while 3 workers each removed 5 kg?
  4. How would the final weight change if each worker added 4 kg instead of 3.3 kg?
  5. If the 6 workers removed 10 kg each, what would be the remaining weight?

Tip: When dealing with different units like kilograms and grams, always convert them to the same unit before performing calculations to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Addition
Subtraction

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6