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There are 72 new houses being built in a neighborhood. Last month, 1/3 of them were sold. This month, 1/4 of the remaining houses were sold. How many houses are left to be sold?



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olumideolawoyin

Answer:

36

Step-by-step explanation:

Let 1 be the fraction of the whole 72 new houses in the neighborhood.

1/3 of them were sold last month.

The remaining houses = 1 - 1/3 = 2/3.

If 1/4 of the remaining houses were sold this month = 1/4 × 2/3 = 1/6

The fraction of houses left to be sold = 1 - (1/3 + 1/6) = 1 - 1/2 = 1/2

The number of houses left to be sold = 1/2 × 72 = 36

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