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Two brands of chocolate are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kind, what is the least number of boxes of each kind I would need to buy?
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Two brands of chocolate are available in packs of 24 and 15 respective...
**Problem Analysis:**
To find the least number of boxes of each kind of chocolate that need to be bought, we need to determine the common factor of 24 and 15. The common factor will represent the number of chocolates in each box that will be equal for both brands.
**Finding the Common Factor:**
We can find the common factor of 24 and 15 by finding their greatest common divisor (GCD). The GCD can be found using the Euclidean algorithm.
1. Divide the larger number (24) by the smaller number (15) and find the remainder.
- 24 ÷ 15 = 1 remainder 9
2. Divide the previous divisor (15) by the remainder (9) and find the new remainder.
- 15 ÷ 9 = 1 remainder 6
3. Repeat the process until the remainder is 0.
- 9 ÷ 6 = 1 remainder 3
- 6 ÷ 3 = 2 remainder 0
The GCD of 24 and 15 is the last non-zero remainder, which is 3. Therefore, the common factor of 24 and 15 is 3.
**Calculating the Number of Boxes:**
To find the least number of boxes of each kind, we divide the total number of chocolates by the common factor (3).
1. For the first brand with packs of 24 chocolates, we divide 24 by 3.
- 24 ÷ 3 = 8
- We need to buy 8 boxes of the first brand.
2. For the second brand with packs of 15 chocolates, we divide 15 by 3.
- 15 ÷ 3 = 5
- We need to buy 5 boxes of the second brand.
**Final Answer:**
To buy an equal number of chocolates of both kinds, we would need to buy 8 boxes of the first brand and 5 boxes of the second brand.
To find the least number of boxes of each kind of chocolate that need to be bought, we need to determine the common factor of 24 and 15. The common factor will represent the number of chocolates in each box that will be equal for both brands.
**Finding the Common Factor:**
We can find the common factor of 24 and 15 by finding their greatest common divisor (GCD). The GCD can be found using the Euclidean algorithm.
1. Divide the larger number (24) by the smaller number (15) and find the remainder.
- 24 ÷ 15 = 1 remainder 9
2. Divide the previous divisor (15) by the remainder (9) and find the new remainder.
- 15 ÷ 9 = 1 remainder 6
3. Repeat the process until the remainder is 0.
- 9 ÷ 6 = 1 remainder 3
- 6 ÷ 3 = 2 remainder 0
The GCD of 24 and 15 is the last non-zero remainder, which is 3. Therefore, the common factor of 24 and 15 is 3.
**Calculating the Number of Boxes:**
To find the least number of boxes of each kind, we divide the total number of chocolates by the common factor (3).
1. For the first brand with packs of 24 chocolates, we divide 24 by 3.
- 24 ÷ 3 = 8
- We need to buy 8 boxes of the first brand.
2. For the second brand with packs of 15 chocolates, we divide 15 by 3.
- 15 ÷ 3 = 5
- We need to buy 5 boxes of the second brand.
**Final Answer:**
To buy an equal number of chocolates of both kinds, we would need to buy 8 boxes of the first brand and 5 boxes of the second brand.
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Two brands of chocolate are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kind, what is the least number of boxes of each kind I would need to buy?
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Two brands of chocolate are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kind, 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 chocolate are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kind, 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 chocolate are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kind, what is the least number of boxes of each kind I would need to buy?.
Two brands of chocolate are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kind, 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 chocolate are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kind, 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 chocolate are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kind, what is the least number of boxes of each kind I would need to buy?.
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