Final answer:
To find the ratio of blueberry pies to cherry pies, we determine there are 10 cherry and 4 blueberry pies from the 20 total pies, resulting in a ratio of 2 to 5 after simplification.
Step-by-step explanation:
The question asks us to find the ratio of blueberry pies to cherry pies in a bakeshop with a total of 20 pies. Since half of the pies are cherry, that means there are 10 cherry pies. With six pies being apple, we subtract that from the total to find the number of blueberry pies: 20 pies - 10 cherry pies - 6 apple pies = 4 blueberry pies. Therefore, the ratio of blueberry to cherry pies is 4 to 10, which can be simplified by dividing both numbers by 2, resulting in a simplified ratio of 2 to 5.