Q:

The recycling and reuse industry employs approximately 1,025,000 more workers than the waste management industry. Together they provide 1,275,000 jobs. How many jobs does each industry provide?

Accepted Solution

A:
Answer:Step-by-step explanation:The recycling and reuse industry employs approximately 1,025,000 more workers than the waste management industry. This means thatNumber of workers employed by The recycling and reuse industry = the number of workers employed by the waste management industry + 1,025,000Let y = the number of workers employed by the waste management industry. Thereforex = y + 1,025,000 - - - - - - 1Since total = 1,275,000x + y = 1,275,000 - - - - - - -2Substituting equation 1 into equation 2, it becomesy + 1,025,000 + y = 1,275,0002y = 1,275,000 - 1,025,000y = 250000/2 = 125000x = y + 1,025,000 = 125000 + 1,025,000 = 1150000The recycling and reuse industry employs 1150000 workersThe waste management industry employs 125000 workers