In a village the number of houses and the number of flats are in the ration9:5 the number of flats and the number pf bungalows are in the ratio 10:3 there are 30 bungalows in the village. How many houses are there in the village?

Question

Mathematics

Casey Mcclure

6 July, 04:46

In a village the number of houses and the number of flats are in the ration9:5 the number of flats and the number pf bungalows are in the ratio 10:3 there are 30 bungalows in the village. How many houses are there in the village?

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Answers (1)

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Kyra Faulkner · Answer 1

Answer: 180 houses

Step-by-step explanation:

From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.

Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:

= 10/3 * 30

= 10 * 10

= 100 flats

Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:

= 9/5 * 100

= 9 * 20

= 180 houses