Question

A florist is making blue and white flower arrangements. He has 24 blue carnations and 36 red carnations. Each arrangement has the same number of blue carnations and the same number of red carnations. He uses all the flowers to make the greatest number of matching arrangements.
There should be __ total arrangements. ( 2, 4, 6, 12 )

He should include __ blue carnations in each arrangement. ( 2, 4, 6, 12 )

He should include __ red carnations in each arrangement. ( 2, 3, 4, 6 )

Answer 1

Answer:

12 arrangments, 2 blue carnations in each arrangement, 3 red carnations in each arrangment.

Step-by-step explanation:

We can find the gcd of 24 and 36, getting 12.

Therefore, there should be 12 total arrangements.

There are 24 blue carnations:

24 / 12 = 2 blue carnations in each arrangement.

There are 36 red carnations:

36 / 12 = 3 red carnations in each arrangment.