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?

Guest Jul 6, 2022

#1**+1 **

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

CPhill Jul 7, 2022