There are 80 new workers, technicians and engineers in a factory, and 480 products are completed every day. It is known that 1 new worker can complete 2 products per day, 1 technician can complete 6 products per day, and 1 engineer can complete 7 products per day. , if the total number of pieces completed by new workers and technicians is equal, how many engineers are there in the factory?
某工厂有新工人、技师、工程师共80名，每天完成480件产品的任务，已知1名新工人每天能完成2件，1名技师每天能完成6件，1名工程师每天能完成7件，如果新工人和技师所完成的总件数相等，那么该工厂共有工程师多少名？
<result>5</result>