Jacqueline wants to make as many identical bouquets as possible using all flowers she has. What is the biggest number of such bouquets can be made out of 42 carnations, 36 tulips and 54 daffodils?

Question

Mathematics

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23 October, 19:22

Jacqueline wants to make as many identical bouquets as possible using all flowers she has. What is the biggest number of such bouquets can be made out of 42 carnations, 36 tulips and 54 daffodils?

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Answers (2)

Know the Answer?

Anya · Answer 1

Answer: The answer is 6

Bryce · Answer 2

6

Step-by-step explanation:

This is a disguised GCF problem. If Jacqueline wants to use all the flowers she has, she must find the greatest common factor of the their numbers.

1. Determine the prime factors of each number and mark those that are common

The prime factors of 42 are 2 * 3 * 7 = 42

The prime factors of 36 are 2 * 2 * 3 * 3 * 3 = 36

The prime factors of 54 are 2 * 3 * 3 * 3 = 54

2. Multiply the common factors

The common prime factors of 42, 36. and 54 are 2 and 3.

The greatest common factor is 2 * 3 = 6.

Jacqueline can make six bouquets, and each will contain seven tulips, six carnations, and nine daffodils.