There are 128 seats in a movie theater and $[3 / 4]$ of them are occupied by moviegoers. How many moviegoers are in the theater?
Answer (2)
There are 128 seats in the theater, and 4 3 of them are occupied by moviegoers. By calculating 4 3 × 128 , we find that there are 96 moviegoers in the theater. Thus, the answer is 96 .
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The problem states that there are 128 seats in a movie theater and 4 3 of them are occupied.
To find the number of moviegoers, we calculate 4 3 of 128.
Performing the calculation: 4 3 × 128 = 3 × 32 = 96 .
Therefore, the number of moviegoers in the theater is 96 .
Explanation
Understanding the Problem We are given that there are 128 seats in a movie theater and that 4 3 of the seats are occupied by moviegoers. We need to find the number of moviegoers in the theater.
Setting up the Calculation To find the number of moviegoers, we need to calculate 4 3 of the total number of seats, which is 128. This can be done by multiplying the fraction 4 3 by 128.
Performing the Calculation Now, let's perform the calculation: 4 3 × 128 = 4 3 × 128 We can simplify this by dividing 128 by 4 first: 4 128 = 32 Then, multiply the result by 3: 3 × 32 = 96
Final Answer Therefore, there are 96 moviegoers in the theater.
Examples
Understanding fractions is essential in everyday situations, such as calculating discounts while shopping. For instance, if an item originally costs $120 and is 25% off, you can calculate the discount by finding 4 1 of $120, which is $30. This means you would save $30 and pay $90 for the item. Knowing how to work with fractions helps you make informed decisions and manage your finances effectively.
