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There are 40 houses in a neighborhood. Company X provides electricity to 1/8 of the houses. Company Y provides electricity to 2/5 of the houses. Company Z provides electricity to the remaining houses. In this neighborhood, company Z provides electricty to -

F. 21 houses
G. 24 houses
H. 16 houses
J. 19 houses

Respuesta :

j is the answer because 1/8 of the houses is 5 2/5 of 40 is 16 and 16 +5 =21 40-21 =19

Answer:

J. 19 houses

Step-by-step explanation:

Since there is a total of 40 houses in the neighborhood.

So, Number of houses Company X provide electricity is: [tex]\dfrac{1}{8}\times40 = 5[/tex]

and, Number of houses Company X provide electricity is: [tex]\dfrac{2}{5}\times40 = 16[/tex]

Hence total number of houses Company Z provide electricity is: 40 - (5 + 16) = 40 - 21 = 19

⇒ Total number of houses Company Z provide electricity = 19

Thus, Option (J) is correct.