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Question
Betty wants to plant 72 sunflower saplings and 54 daisy saplings in equal rows such that each row has only one kind of sapling.
What is the greatest number of saplings she can plant in each row?
Betty wants to plant 72 sunflower saplings and 54 daisy saplings in equal rows such that each row has only one kind of sapling.
What is the greatest number of saplings she can plant in each row?
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Solution
The correct option is B 18
To solve this problem, first we have to break down both the numbers into prime factors.
The prime factorization of 72 is: 2 × 2 × 2 × 3 × 3
The prime factorization of 54 is: 2 × 3 × 3 × 3
Thus, the greatest common factor of 72 and 54 is: 2 × 3 × 3 = 18
Hence, Betty can plant 18 saplings in each row.
Additionally,
Number of rows of sunflower saplings: 72 ÷ 18 = 4
Number of rows of daisy saplings: 54 ÷ 18 = 3
To solve this problem, first we have to break down both the numbers into prime factors.
The prime factorization of 72 is: 2 × 2 × 2 × 3 × 3
The prime factorization of 54 is: 2 × 3 × 3 × 3
Thus, the greatest common factor of 72 and 54 is: 2 × 3 × 3 = 18
Hence, Betty can plant 18 saplings in each row.
Additionally,
Number of rows of sunflower saplings: 72 ÷ 18 = 4
Number of rows of daisy saplings: 54 ÷ 18 = 3
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