Ms. Reyes buys three types of flowers. She buys 20 roses, 24 carnation, and 36 tulips. She plans to group the flowers into more than a bouquet. She wants to put the same number of each type of flower into each bouquet. What is the greatest number of bouquets Ms. Reyes can make?

The greatest number of bouquets Ms. Reyes can make is 4 bouquets

Step-by-step explanation:

Ms. Reyes buys three types of flowers. She buys 20 roses, 24 carnation, and 36 tulips.

To find the greatest number of bouquets she can make, we solve using Greatest Common Factor method.

We find the factors of 20, 24 and 36

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor is 4.

Hence, the greatest number of bouquets Ms. Reyes can make is 4 bouquets

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50