4 boys from school A and 6 boys from school B together can set up exhibition in 5 days, which 5 boys from school A and 10 boys from school C together can do in 4 days or 3 boys from school B and 4 boys from school C together can do in 10 days. Then how many boys from school A can set up the exhibition in one day?
Answers
40 Boys from School A can setup Exhibition in 1 Day
Step-by-step explanation:
4 boys from school A and 6 boys from school B together can set up exhibition in 5 days
(4A + 6B)5 = Work
=> 20A + 30B = Work
5 boys from school A and 10 boys from school C together can do in 4 days
(5A + 10C)4 = Work
=> 20A + 40C = Work
=> 30B = 40C => 3B = 4C
3 boys from school B and 4 boys from school C together can do in 10 days
(3B + 4C)10 = Work
=> 30B + 40C = Work
=> 60B = Work
20A + 30B = 60B
=> 20A = 30B
=> 40A = 60B
60B = Work
=> 40A = Work
40 Boys from School A can setup Exhibition in 1 Day
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