Question

Tina is placing 30 roses and 42 tulips in vase for table decorations in her restaurant each vase will hold the same number of flowers each vase will have only one type of flower what is the greatest number of flowers She can place it each vase

Answer 1

6 flowers... for a total of 12 vases: 5 of roses and 7 of tulips

Answer 2

Answer:   6

Step-by-step explanation:

Given : Tina is placing 30 roses and 42 tulips in vase for table decorations in her restaurant .

Each vase will hold the same number of flowers and each vase will have only one type of flower .

Then, the greatest number of flowers she can place it each vase will be the greatest common factor of 30 and 42.

Prime factorization of 30 and 42 :

$30=2\times3\times5\\\\42=2\times3\times7$

We can see that greatest common factor of 30 and 42 = $2\times3=6$

Hence, the greatest number of flowers she can place it each vase  =6