Question

PS-31 Bryson has 22 raspberry scones and 33 strawberry scone bags of scones as possible. Each bag should have an equal number of strawberry scones. What is the greatest n, and how do you know?

Answer 1

The greatest number of strawberry scones that can be put in each bag is 11, because 11 is the greatest common divisor (GCD) of 22 and 33.

Step-by-step explanation:

To determine the greatest number of strawberry scones that can be put in each bag, we need to find the greatest common divisor (GCD) of 22 and 33. The GCD of 22 and 33 is 11, so the greatest number of strawberry scones that can be put in each bag is 11.

We know that each bag should have an equal number of strawberry scones, and since 11 is the greatest number that can go into each bag, we can conclude that 11 is the greatest n.

Therefore, the greatest n is 11, and we know this because 11 is the largest number that can evenly divide both 22 and 33.