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Two brands of chocolates are available in pack of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy?
Most Upvoted Answer
Two brands of chocolates are available in pack of 24 and 15 respective...
The LCM of 24 and 15
Now, 24 = 2 * 2 * 2 * 3
and 15 = 3 * 5
LCM(24, 15) = 2 * 2 * 2 * 3 * 5 = 120
Now, the number of boxes of pack of 24 = 120/24 = 5
and the number of boxes of pack of 15 = 120/15 = 8
Now, 24 = 2 * 2 * 2 * 3
and 15 = 3 * 5
LCM(24, 15) = 2 * 2 * 2 * 3 * 5 = 120
Now, the number of boxes of pack of 24 = 120/24 = 5
and the number of boxes of pack of 15 = 120/15 = 8
Community Answer
Two brands of chocolates are available in pack of 24 and 15 respective...
Solution:
Finding the common factor
To find the least number of boxes of each kind, we need to find the common factor of 24 and 15.
- The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
- The factors of 15 are 1, 3, 5, and 15.
The common factor of 24 and 15 is 3.
Calculating the number of boxes
To calculate the number of boxes of each kind we need to buy, we divide 24 and 15 by 3.
- 24 ÷ 3 = 8 boxes of the first kind
- 15 ÷ 3 = 5 boxes of the second kind
Therefore, we need to buy 8 boxes of the first kind and 5 boxes of the second kind to have an equal number of chocolates of both kinds.
Explanation
When we buy 8 boxes of the first kind, we get 8 x 24 = 192 chocolates.
When we buy 5 boxes of the second kind, we get 5 x 15 = 75 chocolates.
Since 192 and 75 are both multiples of 3, we can divide both numbers by 3 to get an equal number of chocolates from both kinds.
Therefore, we need to buy 8 boxes of the first kind and 5 boxes of the second kind to have an equal number of chocolates of both kinds.
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Two brands of chocolates are available in pack of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy?
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Two brands of chocolates are available in pack of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two brands of chocolates are available in pack of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two brands of chocolates are available in pack of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy?.
Two brands of chocolates are available in pack of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two brands of chocolates are available in pack of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two brands of chocolates are available in pack of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy?.
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