Zack bought a large box of microwave popcorn. The box contained 3 bags of butter-flavored popcorn for every 2 bags of plain popcorn. If the box contained 12 bags of plain popcorn, how many bags of microwave popcorn did it contain altogether?

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).