SOLUTION: Angela, bob, and Charlie have a total of $35 in dollar bills. Bob has 3/4 as much as Angela and Charlie together. How many dollar bills does bob have?

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Question 606562: Angela, bob, and Charlie have a total of $35 in dollar bills. Bob has 3/4 as much as Angela and Charlie together. How many dollar bills does bob have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let their amounts =
(1) +a+%2B+b+%2B+c+=+35+
(2) +b+=+%283%2F4%29%2A%28+a+%2B+c+%29+
---------------------
(2) +a+%2B+c+=+%284%2F3%29%2Ab+
substitute (2) into (1)
(1) +%284%2F3%29%2Ab+%2B+b+=+35+
(1) +%287%2F3%29%2Ab+=+35+
(1) +b+=+%283%2F7%29%2A35+
(1) +b+=+15+
Bob has $15