Jonas has 16 carnations and 12 roses. He wants to make identical bouquets for a party. How many bouquets can he make?

Jonas can make 4 bouquets, each containing 4 carnations and 3 roses.

Step-by-step explanation:

Given that Jonas has 16 carnations and 12 roses, and he wants to make identical bouquets for a party, to determine how many bouquets can he make the following calculation must be performed, obtaining the largest common divisor between both numbers:

12 = Divisible by 2, 3, 4, 6 and 12

16 = Divisible by 2, 4, 8 and 16

Thus, the common greatest divisor between the two numbers is 4.

12/4 = 3

16/4 = 4

So, Jonas can make 4 bouquets, each containing 4 carnations and 3 roses.

a negative exponent is translated as follows:

so, we have