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In a children's park, the ratio of the number of adults to the number of children is 1:4. After five minutes, 1 adult and 10 children came. The ratio became 1:5. What was the original number of adults?

 Jul 1, 2020
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Adults of the original number of people (x) =  1 out of (1+4) =    1/5 x

 

Children originally  =   4/5 x

 

then add 1 adult and 10 children

 

(1/5 x   + 1)/ (4/5x +10)    = 1/5  

    solve for x = 25    the original number of people       1/5 were adults  = 5 adults originally 

 Jul 1, 2020

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