Binda is working on an art project that requires 32 feet of ribbon. She has 17 1/2 feet of ribbon, but needs to purchase more ribbon to have enough to finish her art project. All of the ribbon will be cut into piece that are 1/4 foot long. Write and solve an equation that can be used to determine the number of feet of ribbon, x, that Binda needs to purchase to finish her art. How many 1/4 foot pieces of ribbon can Binda make from all 32 feet of ribbon?