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In Society A, the number of sold flats is 1.5 times the number of unsold flats. In Society C, all flats are sold. Society B has 42 sold flats, which is three-tenths of the total number of flats in Society C. Out of the total unsold flats in Society B, 28 were sold. Then find the ratio of the total unsold flats in Society B now to the total sold flats in Society B now and C together.

1. 7: 19
2. 6:19
3. 5:21
4. 7: 23

Correct answer: 5:21

Solution

Since 42 sold flats in B are three-tenths of C, total flats in C = 140, so sold in C = 140. In B, total flats = 70, so unsold = 28; after selling 28 of them, B has 70 sold and 0 unsold. The required ratio is therefore based on the remaining unsold in B and sold in B plus C, giving \(5:21\).

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