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Coventry Estates sells houses.
In February they sold twice as many houses as in January.
In March they sold 10 more houses than in February.
In April they sold half as many houses as in March.
Coventry Estates sold a minimum of 123 houses from 1st January to 30th April.
Find the least number of houses sold in January.

Respuesta :

The total number of houses sold in January by Coventry Estates are 18.

How to do the twice of number?

  • This suggests that the amount of A is twice as large as the quantity of anything else, which in this case is B.
  • So, if you have a dozen B items, you have twice a certain number for A, which is 24.

As per the given question;

Let the total sales of the houses in January be 'x'.

In February they sold twice as many houses as in January.

February = 2x.

In March they sold 10 more houses than in February.

March  = February + 10

March  = 2x + 10

In April they sold half as many houses as in March.

April = March/2

April = (2x + 10)/2 = x + 5

The total sold houses = 123.

Add all the sold houses;

x + 2x + 2x + 10 + x + 5 = 123

6x + 15 = 123

On simplification;

x = 18

Thus, the total number of houses sold in January by Coventry Estates are 18.

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