Question
The ratio of the number of fiction to non-fiction books in
a library is 4:7. If 16 more books of each type are added, the ratio becomes 8:13. Find the number of non-fiction books originally.Solution
ATQ,
Let the original number of fiction and non-fiction books be ‘4x’ and ‘7x’, respectively.
ATQ;
(4x + 16) / (7x + 16) = (8/13)
Or, 13 × (4x + 16) = 8 × (7x + 16)
Or, 52x + 208 = 56x + 128
Or, 4x = 80
Or, x = 20
So, the number of non-fiction books originally = 7 × 20 = 140
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