A florist has 54 white roses, 72 red roses, and 108 pink roses. If he makes the greatest number possible of identical bouquets u

Question

3 years ago

10

sing all the roses, how many red roses will be in each bouquet?

1 answer:

drek231 [11] · Answer 1 · 2022-08-12T05:19:33+03:00

Find the greatest common factor of each flower:

White roses = 54 = 1, 2 , 3, 6, 9, 18, 27, 54

Red roses = 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Pink roses = 108 = 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The common factors of all three are: 1, 2, 3, 6, 9, 18.

The greatest common factor is 18, so he can make 18 bouquets.

Divide the total red roses by 18:

72 / 18 = 4

There will be 4 red roses in each bouquet.