SOLUTION: Fred has $120 more than Bob. After Fred spends $20 on groceries, Fred has 6 times as much money as Bob. How much money does Bob have?

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Question 1095027: Fred has $120 more than Bob. After Fred spends $20 on groceries, Fred has 6 times as much money as Bob. How much money does Bob have?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +b+ = Bob's amount
Let +f+ = Fred's amount
---------------------------
(1) +f+=+b+%2B+120+
(2) +f+-+20+=+6b+
--------------------
(2) +f+=+6b+%2B+20+
Plug (2) into (1)
(1) +6b+%2B+20+=+b+%2B+120+
(1) +5b+=+100+
(1) +b+=+20+
and
(1) +f+=+b+%2B+120+
(1) +f+=+20+%2B+120+
(1) +f+=+140+
--------------------
Bob has $20
----------------
check:
(2) +f+-+20+=+6b+
(2) +140+-+20+=+6%2A20+
(2) +120+=+120+
OK

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Fred has $120 more than Bob. After Fred spends $20 on groceries, Fred has 6 times as much money as Bob. How much money does Bob have?
Let amount Bob has be B
Then Fred has: B + 120
We then get: B + 120 - 20 = 6B
100 = 5B
B, or amount Bob has = highlight_green%28matrix%281%2C3%2C+100%2F5%2C+%22=%22%2C+%22%2420%22%29%29