Scott and Jeremy took a basket of balls with them to tennis practice. Scott took out two and threw them at Jeremy. Jeremy chased Scott and accidentally knocked over the basket, dumping out...

Scott and Jeremy took a basket of balls with them to tennis practice. Scott took out two and threw them at Jeremy. Jeremy chased Scott and accidentally knocked over the basket, dumping out three\eighths of the remaining balls. Scott threw five back in. As they were playing, a hard hit knocked the basket over, and two\fifths of the remaining balls rolled out. Scott put two balls back into the basket, but a couple of minutes later a smash hit knocked the basket over again. Half of the remaining balls rolled out, and then there were seven left in the basket. How many tennis balls did Scott and Jeremy start with in the basket?