Let x represent the number of cups of popcorn that can be made from 0.75 cups of kernels. We know that 0.5 cups of kernels is used to make 16 cups of popcorn. Therefore, to calculate the number of cups of popcorn that can be made from 0.75 cups of kernels we use the equation:
x / 0.75 cups of kernels = 16 cups of popcorn / 0.5 cups of kernels
multiplying through by 0.75 cups of kernels gives:
(x / 0.75 cups of kernels) * 0.75 cups of kernels = (16 cups of popcorn / 0.5 cups of popcorn) * 0.75 cups of kernels
