Andrea is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $180 for materials and equipment rental plus $65 per hour for labor. Company B gave and estimate of $230 for materials and equipment rental plus $55 per hour for labor. We can represent this situation with the system of linear equations
c = 180 + 65h
c = 230 + 55h
where c is the total cost and h is the number of hours of labor. Find the number of hours of labor for the two companies to have the same total cost.
as usual, wrong again!!!!
180 + 65h = 230 + 55h
10h = 50
h = 5
after 5 hours they have the same cost of $505
To find the number of hours of labor for the two companies to have the same total cost, we can solve the system of linear equations by subtracting the two equations from each other.
c - c = 180 + 65h - (230 + 55h)
0 = -50
Since 0 does not equal -50, the two companies cannot have the same total cost.