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When in each box 5 an 6 dozens of apples were packed , 3 dozens were left . Therefore bigger boxes were taken to pack 8 or 9 dozens of apples. however still 3 dozens of apples remained. What is the least no . of dozens of apples to be packed ?
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When in each box 5 an 6 dozens of apples were packed , 3 dozens were l...
Solution:
Given:
- 5 and 6 dozens of apples were packed in each box and 3 dozens were left.
- 8 or 9 dozens of apples were packed in bigger boxes and still 3 dozens of apples remained.
To find:
The least number of dozens of apples to be packed.
Approach:
We will use the concept of LCM (Least Common Multiple) to find the least number of dozens of apples to be packed.
Calculations:
- Let x be the number of boxes containing 5 dozens of apples.
- Therefore, the number of boxes containing 6 dozens of apples will be (10 - x) as there are total of 10 boxes.
- Also, 3 dozens of apples were left after packing in each box.
- Therefore, the total number of dozens of apples packed in 10 boxes will be:
- x * 5 + (10 - x) * 6 + 3 * 10
- = 50 + 3x
- Now, let y be the number of bigger boxes containing 8 dozens of apples.
- Therefore, the number of bigger boxes containing 9 dozens of apples will be (5 - y) as there are total of 5 bigger boxes.
- Also, 3 dozens of apples were left after packing in each bigger box.
- Therefore, the total number of dozens of apples packed in 5 bigger boxes will be:
- y * 8 + (5 - y) * 9 + 3 * 5
- = 45 + 3y
- As we know that there were 3 dozens of apples left after packing in both boxes and bigger boxes.
- Therefore, we can write:
- 50 + 3x = 45 + 3y
- 5 = 3(y - x)
- The LCM of 3 and 5 is 15.
- Therefore, the smallest possible value of (y - x) will be 5/3 when y = 4 and x = 1.
- Substituting these values in the above equations, we get:
- x = 1
- y = 4
- Total dozens of apples packed = 50 + 3x = 53
Answer:
The least number of dozens of apples to be packed is 53.
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When in each box 5 an 6 dozens of apples were packed , 3 dozens were left . Therefore bigger boxes were taken to pack 8 or 9 dozens of apples. however still 3 dozens of apples remained. What is the least no . of dozens of apples to be packed ?
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When in each box 5 an 6 dozens of apples were packed , 3 dozens were left . Therefore bigger boxes were taken to pack 8 or 9 dozens of apples. however still 3 dozens of apples remained. What is the least no . of dozens of apples to be packed ? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about When in each box 5 an 6 dozens of apples were packed , 3 dozens were left . Therefore bigger boxes were taken to pack 8 or 9 dozens of apples. however still 3 dozens of apples remained. What is the least no . of dozens of apples to be packed ? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When in each box 5 an 6 dozens of apples were packed , 3 dozens were left . Therefore bigger boxes were taken to pack 8 or 9 dozens of apples. however still 3 dozens of apples remained. What is the least no . of dozens of apples to be packed ?.
When in each box 5 an 6 dozens of apples were packed , 3 dozens were left . Therefore bigger boxes were taken to pack 8 or 9 dozens of apples. however still 3 dozens of apples remained. What is the least no . of dozens of apples to be packed ? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about When in each box 5 an 6 dozens of apples were packed , 3 dozens were left . Therefore bigger boxes were taken to pack 8 or 9 dozens of apples. however still 3 dozens of apples remained. What is the least no . of dozens of apples to be packed ? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When in each box 5 an 6 dozens of apples were packed , 3 dozens were left . Therefore bigger boxes were taken to pack 8 or 9 dozens of apples. however still 3 dozens of apples remained. What is the least no . of dozens of apples to be packed ?.
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