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A wholesaler sells bottles of refined oil in boxes which contain either 64 bottles or 144 bottles.
What minimum number of bottles of refined oil should a retailer buy in order that he has a choice
of buying them in either type of boxes ? How many boxes of each kind can he purchase ?
Most Upvoted Answer
A wholesaler sells bottles of refined oil in boxes which contain eithe...
Minimum number of bottles to have a choice of buying in either type of boxes
To have a choice of buying refined oil bottles in either type of boxes, the minimum number of bottles the retailer should buy is the least common multiple (LCM) of 64 and 144.
Calculating the LCM of 64 and 144
To calculate the LCM of 64 and 144, we can use the prime factorization method.
- Prime factorization of 64: 2^6
- Prime factorization of 144: 2^4 x 3^2
To find the LCM, we take the highest power of each prime factor that appears in either number.
LCM = 2^6 x 3^2 = 576
Therefore, the retailer should buy at least 576 bottles of refined oil to have a choice of buying them in either type of boxes.
Number of boxes of each kind the retailer can purchase
Now that we know the minimum number of bottles to buy, we can calculate the number of boxes of each kind the retailer can purchase.
- Number of boxes of 64 bottles: 576/64 = 9 boxes
- Number of boxes of 144 bottles: 576/144 = 4 boxes
Therefore, the retailer can purchase 9 boxes of 64 bottles and 4 boxes of 144 bottles.
It's important to note that the retailer can also purchase any combination of boxes that adds up to 576 bottles, as long as they have at least one box of each kind. For example, they could purchase 6 boxes of 64 bottles and 2 boxes of 144 bottles.
Community Answer
A wholesaler sells bottles of refined oil in boxes which contain eithe...
LCM (64,144)=576 is the answer...,
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A wholesaler sells bottles of refined oil in boxes which contain either 64 bottles or 144 bottles.
What minimum number of bottles of refined oil should a retailer buy in order that he has a choice
of buying them in either type of boxes ? How many boxes of each kind can he purchase ?
Question Description
A wholesaler sells bottles of refined oil in boxes which contain either 64 bottles or 144 bottles. What minimum number of bottles of refined oil should a retailer buy in order that he has a choice of buying them in either type of boxes ? How many boxes of each kind can he purchase ? 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 A wholesaler sells bottles of refined oil in boxes which contain either 64 bottles or 144 bottles. What minimum number of bottles of refined oil should a retailer buy in order that he has a choice of buying them in either type of boxes ? How many boxes of each kind can he purchase ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wholesaler sells bottles of refined oil in boxes which contain either 64 bottles or 144 bottles. What minimum number of bottles of refined oil should a retailer buy in order that he has a choice of buying them in either type of boxes ? How many boxes of each kind can he purchase ?.
A wholesaler sells bottles of refined oil in boxes which contain either 64 bottles or 144 bottles. What minimum number of bottles of refined oil should a retailer buy in order that he has a choice of buying them in either type of boxes ? How many boxes of each kind can he purchase ? 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 A wholesaler sells bottles of refined oil in boxes which contain either 64 bottles or 144 bottles. What minimum number of bottles of refined oil should a retailer buy in order that he has a choice of buying them in either type of boxes ? How many boxes of each kind can he purchase ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wholesaler sells bottles of refined oil in boxes which contain either 64 bottles or 144 bottles. What minimum number of bottles of refined oil should a retailer buy in order that he has a choice of buying them in either type of boxes ? How many boxes of each kind can he purchase ?.
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