Instead of charging admission to the fall​ dance, one high school required that each person bring one can of food for a local food pantry. 100 people came to the​ dance, and 51 of them brought a can of enchilada sauce.

Question

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Part 1
What is the probability that a randomly selected can of food will be enchilada sauce​?
Write your answer as a fraction or whole number.
​P(enchilada sauce​) ​=
  
enter your response here
Write your answer as a percent.
​P(enchilada sauce​) ​=
  
enter your response here​%
Write your answer as a decimal rounded to the hundredths place.
​P(enchilada sauce​) ​=
  
enter your response here

Answer 1

To find the probability that a randomly selected can of food will be enchilada sauce, you can use the formula for probability:

\[ P(\text{enchilada sauce}) = \frac{\text{Number of cans of enchilada sauce}}{\text{Total number of cans of food}} \]

In this case:

• The number of cans of enchilada sauce is 51.
• The total number of people (and thus cans of food) is 100.

Part 1: Fraction

\[ P(\text{enchilada sauce}) = \frac{51}{100} \]

Part 2: Percent

To convert the fraction to a percent, multiply by 100: \[ P(\text{enchilada sauce}) = \frac{51}{100} \times 100 = 51% \]

Part 3: Decimal

To express the fraction as a decimal: \[ P(\text{enchilada sauce}) = \frac{51}{100} = 0.51 \]

Summary:

• P(enchilada sauce) as a fraction: \( \frac{51}{100} \)
• P(enchilada sauce) as a percent: \( 51% \)
• P(enchilada sauce) as a decimal: \( 0.51 \)