Question

Micheal has 22 blueberry scones and 55 rasberry scones. He wants to make as many identical bags of scones as possible. Each bag should have a equal number of blueberry scones and an equal amount of raspberry scones. What is the greatest number of bags Michael can fill?​

Answer 1

The greatest number of bags Michael can fill with both blueberry and raspberry scones is 11, with each bag containing 2 blueberry and 5 raspberry scones.

Step-by-step explanation:

To determine the greatest number of identical bags Micheal can fill with his blueberry and raspberry scones, we need to find the greatest common divisor (GCD) of the quantities of each type of scone. He has 22 blueberry scones and 55 raspberry scones. The GCD of 22 and 55 is 11, because 11 is the largest number that can divide into both 22 and 55 without leaving any remainder.

Thus, if Michael wants to make each bag identical, he can make 11 bags total. Each bag would contain 2 blueberry scones and 5 raspberry scones (22 divided by 11 equals 2, and 55 divided by 11 equals 5).