Final answer:
After calculating, Company Z provides electricity to 28 houses in the neighborhood of 60 houses, which is not among the provided options.
Step-by-step explanation:
The question asks us to determine how many houses in a neighborhood of 60 houses are provided electricity by Company Z, given that Company X provides to 1/5 and Company Y provides to 1/3 of the houses.
First, calculate the number of houses supplied by Company X: 1/5 of 60 houses is 12 houses.
Next, calculate the number of houses supplied by Company Y: 1/3 of 60 houses is 20 houses.
Adding the numbers of houses supplied by Company X and Company Y, we get 12 + 20 = 32 houses.
Company Z provides electricity to the remaining houses: 60 houses - 32 houses = 28 houses.
Therefore, the answer is: Company Z provides electricity to 28 houses, which is not an option in the provided choices, suggesting there may be an error in the question or options given.