Question

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?

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

140

Step-by-step explanation:

Let the ration constant in this equation be x.

Ratio of flats to the bungalows = 8x : 5x

Given that,

Ther are 50 bungaows in the village. That means for every 5 bungalows there are 8 flats. So to find out the number of flats we have to divide the number of bungalows in the village by the number of bungalows in the ratio. So we have,

$\frac{50}{5}$ = 10

That means, we have also got the value of x is 10.

Then, 8x = 8 * x = 8 * 10 = 80

Let the ratio conatant in the second ratio be y.

Ratio of houses to flats = 7y + 4y  

Now in the same way, to find out number of flats, we have to divide the number of flats in the villages by the number of flats in the ratio. So we have,

$\frac{80}{4}$ = 20

That means, we have also got the value of y = 20

Then, 7y = 7 * y = 7 * 20 = 140

Thus, ther are 140 houses in the village

Hope it helps

Pls mark me as brainliest as it took a lot of time to write this answer.