Question

A tub of theater popcorn has 247.5 grams of popcorn, which is 275% larger than a regular bag of popcorn. How many grams of popcorn would be in a regular sized bag.

Answer 1

Let's begin by listing out the information given to us:

A tub has this: 247.5 grams of popcorn = 275%

regular-sized bag: x grams = 100%

We will solve using simple proportion

`\begin{gathered} 247.5g=275 \\ xg=100 \\ \text{Cross Multiply, we have:} \\ 247.5\cdot100\cdot g=275\cdot x\cdot g \\ \text{Make x the subject of formula (divide by 275g)} \\ (247.5\cdot100\cdot g)/(275\cdot g)=(275\cdot x\cdot g)/(275\cdot g) \\ 0.9\cdot100=x\Rightarrow x=900 \\ x=900g \end{gathered}`