Caiyin had 3/7 as many beads as Salimah. Caiyin gave 1/3 of her beads to
Salimah. After that, Salimah gave 60 beads to Caiyin. They then found that
they had the same number of beads. How many beads did Salimah have
at first?
Let the number of beads that Salimah had at first==S
Then, Caiyin had ==3/7S
Salimah received: 1/3*3/7S from Caiyin==1/7S
S + 1/7S - 60 =2/7S + 60
8/7S - 2/7S ==120
6/7S == 120
S == 140 - Beads that Salimah started with.
At the end, both Salimah and Caiyin ended up with 100 beads each.