Question

The sum of beads owned by John, Bob, and Dale is 273. The ratio of John's beads and Dale's is 8:5, and Dale's beads are 10/13 times Bob's. How many more beads does John own than Dale?

Answer 1

John=112 beads
Bob=91 beads
Dale=70

So john have 42 bead more than Dale

Answer 2

John's number --- 8x
Dale's number --- 5x

Bob's number --- y
but Dale's = (10/13)Bob's
5x = (10/13)Bob
Bob = 5x(13/10) = 13x/2

finally:
8x + 5x + 13x/2 = 273
16x + 10x + 13x = 546
39x = 546
x = 14

John has 112
Dale has 70
Bob has 91

So John has 42 more than Dale