In a village the number of houses and the number of flats are in the ratio 7 : 4 the number of flats and the number of bungalows are in the ratio 8 : 5 There are 50 bungalows in the village - Edexcel - GCSE Maths - Question 2 - 2018 - Paper 1

Let the number of flats be $8y$ and the number of bungalows be $5y$, where $y$ is another common multiplier. Since the number of flats must be consistent, we set $4x = 8y$, leading to $x = 2y$.

From the equation $5y = 50$, we find $y = 10$. Substituting back, we have $x = 2y = 20$. Now we can calculate the number of houses as follows:

• Number of houses = $7x = 7(20) = 140$.

Thus, there are 140 houses in the village.