Question

Ops gets $140 per day and laborers get $100 per day. If 35 people were hired and payroll was $4820, how many ops were employed and how many laborers?

Answer 1

Answer:

2 laborers and 33 ops

Step-by-step explanation:

Given

Let:

L = Laborers

P = Ops

From the statements, we have:

$L + P = 35$ -- total people hired; and

$140P + 100L = 4820$ ---number of hirees

Required

Solve for L and P

Make L the subject in: $L + P = 35$

$L = 35 - P$

Substitute $L = 35 - P$ in $140P + 100L = 4820$

$140P + 100(35 - P) = 4820$

$140P + 3500 - 100P = 4820$

Collect like terms

$140P - 100P = 4820 - 3500$

$40P = 1320$

Solve for P

$P = 1320/40$

$P = 33$

Substitute $P = 33$ in $L = 35 - P$

$L = 35 - 33$

$L = 2$