Equation word problems

Question

Daisy charges a fee of $ 10 plus $ 5.50 an hour to mow lawns. Read charges an $ 8 fee plus $ 6 an hour e mow lawns. How many hours would to the same amount of money?

A.1

B.2

C.3

D.4

Answer 1

10 +5.5X = 8 +6X

2 = .5X

X=4 hours

Answer is D, where both would charge $32

Daisy is cheaper for more than 4 hours

Read is cheaper for less than 4 hours

Answer 2

Let x be the number of hours and set Daisy's fees equal to Read's fee with this equation:

10 + 5.50x = 8 + 6x

Subtract 8 from each side:

2 + 5.50x = 6x

Subtract 5.50x from each side:

2 = .50x

Divide both sides by .50:

2/.50 = .50x/.50

4 = x

Answer D - 4 hours