in a game of boys and girls,if 15 boys leave the group, remaining boys will be 40% of the remaining number of players in the group and further when 45 girls leave the group,we have only three girls for every eight boys in the group.find the number of boys intially?
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Answer:
From a group of boys and girls, 15 girls leave. There are then left two boys for each girl. After this 45 boys leave. There are then 5 girls for each boy. The number of girls in the beginning was:
1) 29
2) 40
3) 43
4) 48
5) None of these
Algebraically;
B=2(G-15)
5(B-45)=G-15
PIN:
G=29; G-15=14; B=14*2=28; How can 45 boys leave out of 28.
G=40; G-15=25; B=25*2=50; 50-45=5; 5*5=25. Matches the count of girls.
Ans: "B"
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