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. How many houses are there in the village?

H:F F:B7:4 8:550 bungalows, so bungalows have been multiplied by 10 to get from 5 to 50. So now we have to do the same process to the flats so we multiply 8 by 10 to get 80 flats. Now we need to get to 80 flats in the house to flat ratio. So to get from 4 to 80 we need to multiply by 20. This gives us the same number of flats on both ratios. We also need to multiply the houses by 20, so it is 7 x 20 = 140. So the number of houses in the village is 140.

Answered by Isra A. Maths tutor

6997 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find x in the following linear equation (5x-3)/4=2


Three whole numbers are each rounded to the nearest 10. The sum of the rounded numbers is 70. Work out the maximum possible sum for the original three numbers.


Solve by factorisation. 3x^2 + 11x – 20 = 0


Paul buys 12 apples and 10 oranges. 12 apples cost £6. The ratio of the cost of one apple: one orange is 2:3. What is the total cost of the apples and oranges?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences