Question

17. John is making flower arrangements. He has 45 roses, 27 irises, and 18daisies. What is the GREATEST number of bouquets he can make using atleast one of each flower and each bouquet having the SAME arrangement?(He has to use ALL the flowers) *Options 452193

Answer 1

To find the greates number of bouques he can make, we need to find the greatest number that divdes the three numbers: 45, 27 and 18.

45 can be divided by the following numbers:

1,3,4,5,9,15,45

27 can be divided by the following numbers:

1,3,9,27

18 can be divided by the following numbers:

1,2,3,6,9,18

From the divisors of the three numbers we can see that the greatest number that divide the three of them is 9.

Thus, 9 is the greatest number of bouquets he can make using at leat 1 of each. Also those 9 bouquets would have all the same arrengement.

Answer: 9