There are 81 new houses being built in a neighborhood. Last month, 1 over 3 of them were sold. This month, 2 over 3 of the remaining houses were sold. How many houses are left to be sold?
Answers
81 - 27 = 54 houses remaining.
54 - 36 = 18 houses remaining.
There are 18 houses left to be sold.
Final answer:
There were 81 new houses. Initially, 1/3 of them were sold, leaving 54 houses. Later on, 2/3 of the remaining houses were sold, leaving a total of 18 houses left to be sold.
Explanation:
The subject of this question is Mathematics and it appears to be suitable for a Middle School level. The problem is about understanding fractions applied to a real-life situation, specifically the sales of new houses in a neighborhood.
Let's begin by working out how many of the 81 houses were sold last month. Because the question states that '1 over 3' were sold, this equates to 81 divided by 3, which is 27 houses. We then deduct this number from the total of 81 to find the remaining houses. So, 81 - 27= 54 houses remained.
In this month, '2 over 3' of the remaining houses were sold. So, we calculate 2/3 of 54. Multiply 54 by 2 and then divide this by 3 to get 36 houses being sold this month.
Subtracting these 36 houses from the remaining 54 (i.e., 54 - 36), we find that there are 18 houses left to be sold.
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