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?
Assume the number of visitors be x
Ratio of 1st and 5th day is 7:8
Number of visitors on 1st and 5th day be 7x and 8x.
Average number of visitors in the first 4 days = 58
i.e., (M + T + W + TH)/4 = 58
Then (7K + T + W + TH) = 232
(7K + T + W + TH) = 232 ...(1)
Average visitors on 2nd, 3rd, 4th and 5th days = 60.
(T + W + TH + F)/4 = 60
(T + W + TH + 8K) = 60 x 4 = 240
(T + W + TH + 8K) = 240 ...(2)
Subtracting (1) from (2) we get,
8K - 7K = 240 - 232
K = 8
Therefore visitors on 5th day = 8(8) = 64
Hence the answer is 64.
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