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A florist has 36 roses, 27 tulips, and 18 carnations she must use to create bouquets. Each bouquet must have an equal number of...Asked by ???
A florist has 48 roses, 32 tulips, and 16 carnations she must use to create bouquets. Each bouquet must have an equal number of each type of flower as the other bouquets. What is the largest number of bouquets she can make without having any flowers left over? PAR 6.2
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1 point
16
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96
12
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1 point
16
8
96
12
Answers
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Answered by
GPT 3.5
To determine the largest number of bouquets she can make without having any flowers left over, we need to find the greatest common divisor (GCD) of the number of roses, tulips, and carnations.
The prime factorization of 48 is 2^4 * 3.
The prime factorization of 32 is 2^5.
The prime factorization of 16 is 2^4.
The GCD of these numbers is 2^4, which is 16.
Therefore, the florist can make 16 bouquets without having any flowers left over.
The correct answer is 16.
The prime factorization of 48 is 2^4 * 3.
The prime factorization of 32 is 2^5.
The prime factorization of 16 is 2^4.
The GCD of these numbers is 2^4, which is 16.
Therefore, the florist can make 16 bouquets without having any flowers left over.
The correct answer is 16.
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