Question

The construction company has signed a contract for the construction of a certain number of RESIDENTIAL BUILDINGS with a completion date in 2015. In January 2015, the company commissioned 1/5 of the total number of houses. Then, in each subsequent month, the company rented 3 houses less than in the previous one. The contract was fully fulfilled by September 1, 2015. How many houses did the company rent under the contract? ​

Answer 1

Answer:

Step-by-step explanation:

Let total number of houses =x

Since September is 9th month therefore it took 9 months for the whole process

Therefore,

$x=9(\frac{1}{5} )x-3-3-3-3-3-3-3-3\\x=\frac{9x}{5} -24\\Therefore ,\\24 =\frac{4x}{5} \\Therefore,\\24*5=120=4x\\Therefore,\\4x = 120\\Therefore,\\x=\frac{120}{4} =30x-ANS$

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