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

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

anonymous · Answer

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