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The average number of visitors of a library in the first 4 days of a week was 58. The average for the 2nd, 3rd, 4th and 5th days was 60. If the number of visitors on the 1st and 5th days were in the ratio 7:8 then what is the number of visitors on the 5th day of the library?

64
58
60
59
Explanation:
If number of visitors on 1st, 2nd, 3rd, 4th and 5th day are a, b, c, d and e respectively then
a + b + c + d = 58 × 4 = 232 - - - (i)
b + c + d + e = 60 × 4 = 240 - - - (ii)
Subtracting (i) from (ii), e – a = 8 - - - (iii)
Given that e : a = 8 : 7
Let e = 8x and a = 7x.
Given, 8x – 7x = 8 ⇒ x = 8 - - - (iv)
So a = 56 and e = 64.
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