Answered

Caleb observed the costumes at a costume party. The themes and number of people are shown in the table below:

| Costume Theme | Number of People |
|----------------------|------------------|
| Superhero | 128 |
| Decades | 96 |
| Scary | 72 |
| TV & Movie Characters| 52 |
| Animals | 24 |
| Career | 28 |

A circle graph was drawn from the data in the table. What percentage would be on the Animals slice of the circle graph?

A. 24%
B. 21.6%
C. 6.7%
D. 6%



Answer :

GinnyAnswer
To determine the percentage that the Animals slice would occupy on a circle graph based on the given table, follow these steps:

1. Find the total number of people at the costume party:
- Sum the number of people from each costume theme.
[tex]\[ \text{Total number of people} = 128 + 96 + 72 + 52 + 24 + 28 \][/tex]
By adding these numbers together:
[tex]\[ 128 + 96 + 72 + 52 + 24 + 28 = 400 \][/tex]
So, the total number of people at the party is 400.

2. Determine the number of people who wore animal-themed costumes:
- According to the table, this number is 24.

3. Calculate the percentage of people who wore animal-themed costumes:
- Use the percentage formula:
[tex]\[ \text{Percentage} = \left(\frac{\text{Number of people with animal costumes}}{\text{Total number of people}}\right) \times 100 \][/tex]
Plug in the numbers:
[tex]\[ \text{Percentage} = \left(\frac{24}{400}\right) \times 100 \][/tex]
Simplify the fraction and then multiply by 100:
[tex]\[ \left(\frac{24}{400}\right) \times 100 = 0.06 \times 100 = 6\% \][/tex]

So, the percentage that would be on the Animals slice of the circle graph is [tex]\( \boxed{6\%} \)[/tex].

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