Question

. There are 160 houses in a neighborhood. Company X provides electricity to of the houses. 1 8 2 1 5 Company Y provides electricity to of the houses. Company Z provides electricity to the remaining houses. In this neighborhood, Company Z provides electricity to: A. 20 houses B. 76 houses C. 64 houses D. 84 houses

Answer 1

Between the three companies, they have to provide the 100% of houses, that is, the fractions must add 1, so the company Z provides electricity to

`1-(1)/(8)-(2)/(5)=(40)/(40)-(5)/(40)-(16)/(40)=(19)/(40)`

19/40 of the houses. Since there are 160 houses, this means that the company Z provides energy to

`160*(19)/(40)=76`

Then, the answer is B. 76 houses.