SOLUTION: I really need help ! The numbers of students that are in the school , we add the same number plus 2/5 of the number initial. After transfering 1/40 of the new number obtained to

Question 129403: I really need help !
The numbers of students that are in the school , we add the same number plus 2/5 of the number initial. After transfering 1/40 of the new number obtained to another schoo , in the school 2223 students still remain. Find how many students there were at the begining .
PLZZZZZZZZZZZ !!
Answer by amine(11) (Show Source): You can put this solution on YOUR website!
we suppose that a is the number of students that are in the school, then
we transfert this sentence "we add the same number plus 2/5 of the number initial" to a variable X.
X=a+a+2/5a=(1+1+2/5)a
X=12/5a (1)
we use the sentence "After transfering 1/40 of the new number obtained to another schoo , in the school 2223 students still remain"
(1-1/40)X=2223
X=(2223*40)/39
X=2280
and when we use (1) 12/5a=2280 then a=(2280*5)/12=950
the number of students there were at the begining est 950

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