Question

In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?

Answer 1

So you take 2:5=7

7

Answer 2

Answer:  The required number of houses is 200.

Step-by-step explanation:  Given that in a housing estate, the direct proportion of flats to houses is 2 : 5 and there are 80 flats.

We are to find the number of houses.

Let 2x and 5x represents the number of flats and houses respectively.

Then, according to the given information, we have

$2x=80\\\\\Rightarrow x=\dfrac{80}{2}\\\\\Rightarrow x=40.$

Therefore, the number of houses is given by

$5\times40=200.$

Thus, the required number of houses is 200.