SOLUTION: Bob is trying to borrow $1000 from friends. One of every 3 friends asked responds that their money is tied up. Of his friends with money not tied up, 2 out of 5 inform him quickly

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Question 276139: Bob is trying to borrow $1000 from friends. One of every 3 friends asked responds that their money is tied up. Of his friends with money not tied up, 2 out of 5 inform him quickly that they won't lend him money. Of the remainder, 1 out 2 won't lend him money on general principles. If Bob called 60 friends, how many might lend him money?
Found 3 solutions by vleith, solver91311, stanbon:
Answer by vleith(2983) About Me  (Show Source):
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Let's start with 60 and whittle down from there.
1 in 3 say money tied up. So that means 2%2F3 have some money
60+%2A+2%2F3+=+40 with money
2 of 5 tell him, no way. So that means 3/5 are still listening
40+%2A+3%2F5+=+24
1 in 2 won't lend on principle. So 1/2 may
24+%2A+1%2F2+=+12
He still has a chance with 12 of them
Good luck Bob

Answer by solver91311(24713) About Me  (Show Source):
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One-third of 60 is 20. 20 people have their money tied up, leaving 40. 2/5 of 40 is 16 who say no, leaving 40 minus 16 equals 24. Half of 24 is 12, leaving 12 who might loan him money.

However, remind him of Polonius' advice to Laertes:

Neither a borrower nor a lender be,
For loan oft loses both itself and friend,
And borrowing dulls the edge of husbandry.



John


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Bob is trying to borrow $1000 from friends. One of every 3 friends asked responds that their money is tied up. Of his friends with money not tied up, 2 out of 5 inform him quickly that they won't lend him money. Of the remainder, 1 out 2 won't lend him money on general principles. If Bob called 60 friends, how many might lend him money?
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1 of every 3 = 20::::::40 remain
2 of 5 of the 40 remaining = 16:::: 24 remain
1 of 2 of the remaining = 12::::12 will lend him money
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Cheers,
Stan H.