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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.

A8 hours
B12 hours
C11 hours
D7 hours

Verified Answer :

texaschic101

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

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

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