Question

at a movie theater, the small bag of popcorn holds 8 cups of popcorn. the large bag holds 50% more than that. how much popcorn does the large bag hold? the unknown value, which represents the large bag of popcorn, is labeled with a question mark on the double number line. write an equation to find the amount of popcorn the large bag holds. popcorn (cups) 0 8 ? 0% 50% 100% 150% \\(\square \cdot \square = \square\\) 8 150% ?

Explanation:

Step1: Determine the percentage multiplier

The large bag holds 50% more than the small bag. So the percentage of the small bag's capacity for the large bag is \(100\% + 50\% = 150\%\), which is \(1.5\) in decimal or \(150\%\) as a percentage.

Step2: Identify the base amount

The small bag holds 8 cups of popcorn.

Step3: Set up the equation

To find the amount in the large bag, we multiply the small bag's capacity (8) by the percentage multiplier (150% or 1.5). So the equation is \(8\times150\%=\text{?}\) (or \(8\times1.5=\text{?}\)).

Answer:

\(8\) \(\cdot\) \(150\%\) \(=\) \(?\) (where the "?" will be \(12\) when calculated, but the equation as per the problem's format is \(8 \cdot 150\% =?\))