Posted by Bob on Sunday, May 5, 2013 at 9:29am.
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?

Math (Algebra)  susan, Sunday, May 5, 2013 at 10:28am
John=112 beads
Bob=91 beads
Dale=70
So john have 42 bead more than Dale

Math (Algebra)  Reiny, Sunday, May 5, 2013 at 11:15am
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
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