Final answer:
To determine the total number of pies, the ratio 5:7 of apple to pumpkin pies is used. For 14 pumpkin pies, there are 10 apple pies, resulting in a total of 24 pies.
Step-by-step explanation:
The question asks to find the total number of pies at a bakery given the ratio of apple pies to pumpkin pies is 5 to 7 and there were 14 pumpkin pies. First, we need to use the ratio to determine how many apple pies there are for every 7 pumpkin pies. Since there are 14 pumpkin pies, which is twice 7, there would also be twice as many apple pies as the ratio indicates.
To find out how many apple pies there are:
- Multiply the number of pumpkin pies (14) by the ratio of apple pies to pumpkin pies (5/7).
- So, for every 7 pumpkin pies, there are 5 apple pies, for 14 pumpkin pies there would be 5*2=10 apple pies.
- Finally, to find the total number of pies, add the number of apple pies and pumpkin pies: 14 pumpkin pies + 10 apple pies = 24 pies in total.