We're given:
Let x equal the calorie count per serving of the original popcorn.
The light popcorn has a calorie count of 120, which is 25% fewer calories than regular popcorn. This means that 75% of the calorie count of regular popcorn is equal to that of the light popcorn:
[tex]x*0.75=120[/tex]
[tex]x*0.75=120[/tex]
⇒ Divide both sides by 0.75:
[tex]\dfrac{x*0.75}{0.75}=\dfrac{120}{0.75}\\\\x=160[/tex]
Therefore, each serving of regular popcorn has 160 calories.