Analyzing Fancy Dress Party Guest Costumes

This problem involves calculating the number of guests dressed as plants in a party, given percentages for different costume categories (animals, birds, clowns) based on the remaining guests at each step. We need to carefully track the number of remaining guests after each calculation.

Initial Guest Information

The party starts with a total of 200 guests.

• Total guests = 200

Calculating Guests Dressed as Animals

First, we determine the number of guests dressed as animals, which is 30% of the total guests.

• Percentage dressed as animals = 30%
• Number of guests as animals = \(30\%\) of 200
• Number of guests as animals = \(\frac{30}{100} \times 200\)
• Number of guests as animals = \(0.30 \times 200 = 60\)

So, 60 guests are dressed as animals.

Calculating Remaining Guests After Animal Costumes

Next, we find out how many guests are remaining after accounting for those dressed as animals.

• Remaining guests = Total guests - Guests dressed as animals
• Remaining guests = \(200 - 60 = 140\)

There are 140 guests remaining.

Calculating Guests Dressed as Birds

Now, 40% of these remaining guests are dressed as birds.

• Percentage dressed as birds = 40% of remaining guests
• Number of guests as birds = \(40\%\) of 140
• Number of guests as birds = \(\frac{40}{100} \times 140\)
• Number of guests as birds = \(0.40 \times 140 = 56\)

Therefore, 56 guests are dressed as birds.

Calculating Remaining Guests After Bird Costumes

We calculate the number of guests still remaining after accounting for those dressed as birds.

• Remaining guests = Guests remaining after animals - Guests dressed as birds
• Remaining guests = \(140 - 56 = 84\)

Now, 84 guests are remaining.

Calculating Guests Dressed as Clowns

Next, 50% of the guests remaining after the bird costumes are dressed as clowns.

• Percentage dressed as clowns = 50% of remaining guests
• Number of guests as clowns = \(50\%\) of 84
• Number of guests as clowns = \(\frac{50}{100} \times 84\)
• Number of guests as clowns = \(0.50 \times 84 = 42\)

So, 42 guests are dressed as clowns.

Calculating Guests Dressed as Plants

The problem states that the remaining guests after the clowns are dressed as plants. We calculate this final remaining number.

• Remaining guests = Guests remaining after birds - Guests dressed as clowns
• Remaining guests = \(84 - 42 = 42\)

The number of guests dressed as plants is 42.

Summary of Calculations

Here is a summary table showing the breakdown:

Final Answer

Based on the step-by-step calculations, the number of guests dressed as plants is 42.