Question

Andrea is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $220 for materials and equipment rental plus $65 per hour for labor. Company B gave an estimate of $300 for materials and equipment rental plus $55 per hour for labor. Determine how many hours of labor will be required for the two companies to cost the same.

A) 8 hours
B) 12 hours
C) 11 hours
D) 7 hours

Answer 1

Company A : 220 + 65h
Company B : 300 + 55h

How many hrs they will cost the same.....so set them equal to each other and solve for h(the number of hrs)

220 + 65h = 300 + 55h
65h - 55h = 300 - 220
10h = 80
h = 80/10
h = 8

220 + 65(8) = 740
300 + 55(8) = 740

so in 8 hrs, both companies charge $ 740

Answer 2

A(x) = 220 + 65x
B(x) = 300 + 55x

A(x)=B(x)
200 + 65x = 300 + 55x
65x - 55x = 300 - 220
10x = 80
x = 80/10
x = 8

the two companies need a. 8 hours of labor for the same cost

hope this help