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The ratio's between the number of Robert's beads and the number of Robin's beads was 1:4. Unfortunately Robert lost 1/5 of his beads. Then Robin shared 152 beads to Robert so that they had the same amount of beads. How many beads did Robin have at first?

 Jul 6, 2022
 #1
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Initially....let the total number of beads between them = N

 

So, at first, Robert has (1/5)N and Robin has (4/5)N

When Robert loses (1/5)  of his he has  (1/5)(4/5)N =  (4/25) N

Then Robin gives him 152 so he has   (4/25)N + 152

And Robin now has (4/5)N  - 152....so....

 

(4/25)N + 152  =  (4/5)N - 152

 

(4/25)N + (4/5)N =  152 + 152

 

(4/25)N + (20/25)N =  304

 

(24/25)N = 304

 

N = 304 ( 25/24) =   1900

 

Robin had  1900 (4/5)  =    1520 beads at first

 

cool cool cool

 Jul 7, 2022

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