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You have 72 candies and want to pack them in boxes with an equal number of candies in each box. What is the maximum number of candies you can have in each box?
- a)6 candies
- b)8 candies
- c)9 candies
- d)12 candies
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
You have 72 candies and want to pack them in boxes with an equal numbe...
The largest number that divides 72 evenly is 12. 72 ÷ 12 = 6, so you can pack 12 candies in each of the 6 boxes.
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You have 72 candies and want to pack them in boxes with an equal numbe...
Understanding the Problem
You have a total of 72 candies and want to divide them into boxes. The goal is to find the maximum number of candies you can fit in each box while ensuring that every box has an equal number of candies.
Finding Factors of 72
To determine the maximum number of candies per box, we need to find the factors of 72. Factors are numbers that can divide another number without leaving a remainder.
Factors of 72:
- 1
- 2
- 3
- 4
- 6
- 8
- 9
- 12
- 18
- 24
- 36
- 72
Choosing the Maximum Factor
Among the factors listed, we need to identify the largest number that can divide 72 evenly.
- The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
- The maximum factor (excluding 72, as it would mean one box) is 36.
- However, the options provided are 6, 8, 9, and 12.
Analyzing the Options
Now, let’s see which of these options is a factor of 72:
- 6: 72 ÷ 6 = 12 (valid)
- 8: 72 ÷ 8 = 9 (valid)
- 9: 72 ÷ 9 = 8 (valid)
- 12: 72 ÷ 12 = 6 (valid)
Among the options, the maximum value is 12.
Conclusion
Thus, the correct answer is 12 candies per box as it allows for an equal division of candies while maximizing the number in each box.
You have a total of 72 candies and want to divide them into boxes. The goal is to find the maximum number of candies you can fit in each box while ensuring that every box has an equal number of candies.
Finding Factors of 72
To determine the maximum number of candies per box, we need to find the factors of 72. Factors are numbers that can divide another number without leaving a remainder.
Factors of 72:
- 1
- 2
- 3
- 4
- 6
- 8
- 9
- 12
- 18
- 24
- 36
- 72
Choosing the Maximum Factor
Among the factors listed, we need to identify the largest number that can divide 72 evenly.
- The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
- The maximum factor (excluding 72, as it would mean one box) is 36.
- However, the options provided are 6, 8, 9, and 12.
Analyzing the Options
Now, let’s see which of these options is a factor of 72:
- 6: 72 ÷ 6 = 12 (valid)
- 8: 72 ÷ 8 = 9 (valid)
- 9: 72 ÷ 9 = 8 (valid)
- 12: 72 ÷ 12 = 6 (valid)
Among the options, the maximum value is 12.
Conclusion
Thus, the correct answer is 12 candies per box as it allows for an equal division of candies while maximizing the number in each box.
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You have 72 candies and want to pack them in boxes with an equal number of candies in each box. What is the maximum number of candies you can have in each box?a)6 candiesb)8 candiesc)9 candiesd)12 candiesCorrect answer is option 'D'. Can you explain this answer?
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You have 72 candies and want to pack them in boxes with an equal number of candies in each box. What is the maximum number of candies you can have in each box?a)6 candiesb)8 candiesc)9 candiesd)12 candiesCorrect answer is option 'D'. Can you explain this answer? 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 You have 72 candies and want to pack them in boxes with an equal number of candies in each box. What is the maximum number of candies you can have in each box?a)6 candiesb)8 candiesc)9 candiesd)12 candiesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for You have 72 candies and want to pack them in boxes with an equal number of candies in each box. What is the maximum number of candies you can have in each box?a)6 candiesb)8 candiesc)9 candiesd)12 candiesCorrect answer is option 'D'. Can you explain this answer?.
You have 72 candies and want to pack them in boxes with an equal number of candies in each box. What is the maximum number of candies you can have in each box?a)6 candiesb)8 candiesc)9 candiesd)12 candiesCorrect answer is option 'D'. Can you explain this answer? 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 You have 72 candies and want to pack them in boxes with an equal number of candies in each box. What is the maximum number of candies you can have in each box?a)6 candiesb)8 candiesc)9 candiesd)12 candiesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for You have 72 candies and want to pack them in boxes with an equal number of candies in each box. What is the maximum number of candies you can have in each box?a)6 candiesb)8 candiesc)9 candiesd)12 candiesCorrect answer is option 'D'. Can you explain this answer?.
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