SOLUTION: a group of boys and girls are playing.when 15 boys leave,their remains 2 girls for each boy. then when 45 girls leave their remains 5 boys for each girl.how many boys were there in
Question 648711: a group of boys and girls are playing.when 15 boys leave,their remains 2 girls for each boy. then when 45 girls leave their remains 5 boys for each girl.how many boys were there in original group? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = number of boys in original group
Let = number of girls in original group
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When 15 boys leave, you have boys and girls, and
you are given that
(1)
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When 45 girls leave, you have boys girls
You are given that
(2)
--------------------------
(1)
(1)
and
(2)
(2)
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Multiply both sides of (1) by
and add the equations
(1)
(2)
There were 40 boys in the original group
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
OK
