Smith industries has 50 workers. Yellow workers are paid $600 per week and red workers are paid $1000 per week. Smith industries weekly payroll is $42,000. How many red workers does Smith industries have?

**y = number of yellow workers**

**50 - y = number of red workers**{there are 50 total workers employed}

600y + 1000(50 - y) = 42,000 {number of workers times price of worker equals total payout}

600y + 50,000 - 1000y = 42,000 {used distributive property}

-400y + 50,000 = 42,000 {combined like terms}

-400y = -8,000 {subtracted 50,000 from each side}

y = 20 {divided each side by -400}

50 - y = 30 {substituted 20, in for y, into 50 - y}

there are

**30 red workers**{50 - y represented red workers}

*- Algebra House*