Question

06. Seven men, five women and eight children were given as assignment of distributing
2000 books to students in a school over a period of three days. All of them distributed
books on the first day. One of the second day two women and three children remained
absent and on the third day three men and five children remained absent. If the ratio of
the number of books distributed in a day by a man, a woman and a child was 5:4:2
respectively, a total of approximately how many books were distributed on the second
day?​

Answer 1

Answer:

Let the number of books distributed by a man, a woman and a child per day be 5x, 4x and 2x respectively

Books distributed on the first day = 7×5x+5×4x+8x×2x

= 35 x + 20 x + 16 x = 71 x

Book distributed on the second day = 7×5x+3×4x+5×2x

= 35x + 12x + 10x = 57x

Books distributed on the third day = 4×5x+5×4x+3×2x

= 46x

∴ 71x + 57x + 46x = 2000

=> 174x = 2000

∴ 57x=2000174x×57x = 650