Giselle buys two types of flowers 48 pink roses and 56 white lilies she combines the two flowers to make identical bouquets with none left over . find the greatest number of bouquets giselle can make

To solve this problem, let us first lay out all the factors of each number.

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

56 : 1, 2, 4, 7, 8, 14, 28, 56

The greatest number of bouquets that can be made would be equal to the greatest common factor of the two numbers. In this case it would be 8.

8 bouquets

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction