50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what percent of the apartments with windows have hardwood floors? A. 10B. 16 2/3C. 40D. 50E. 83 1/3

E) 83 1/3%

Step-by-step explanation

Let H represent hardwood floors

Let W represent windows

Let x be the total number of windows

Let y be the total number without windows

Apartments having window and hardwood floor = 50%

So we have HW = 50% = 0.5

Apartments without windows but have hardwood floor = 25%

No W, H = 25% = 0.25

Apartment without hardwood floors = 40% = 0.4

No H = 0.4

Apartments with hardwood floors (H) = 1 - 0.4 = 0.6

HW + no W, H = 0.6

0.5 + 0.25y = 0.6

0.25y = 0.6 - 0.5

0.25y = 0.1

y = 0.1/0.25

y = 0.4

x = 1 - y

x = 1 - 0.4

x = 0.6

Apartments with windows that have hardwood floors = (HW/x) 100

= (0.5/0.6) 100

= (0.83333) 100

= 83.33%

= 83 1/3% (E)