Question

The ratio of pumpkin pie to pecan pie at a bakery is 4 to 3. If the bakery made 2 dozen pecan pies, how many pumpkin pies did they make?

Answer 1

The bakery made 32 pumpkin pies, calculated by setting up a proportion based on the given ratio of pumpkin to pecan pies and solving for x.

Step-by-step explanation:

The ratio of pumpkin pie to pecan pie at a bakery is 4 to 3. This means that for every 4 pumpkin pies, there are 3 pecan pies. Since we know the bakery made 2 dozen, or 24, pecan pies, we can set up a proportion to solve for the number of pumpkin pies:

4 pumpkin pies / 3 pecan pies = x pumpkin pies / 24 pecan pies

Now, cross-multiply and solve for x:

3x = 4 × 24

3x = 96

Divide both sides by 3:

x = 96 / 3

x = 32

So, the bakery made 32 pumpkin pies.