- Thread starter Sisjssj
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Assuming you are studying algebra, you have been taught the first thing to do:I’m stuck everywhere I don’t know a single thing to do

Hugo gave 1/4 of his money and an additional $1 to Calvin. He gave 1/5 of the remaining money and an additional $4 to Kenneth. The amount of money Hugo had left in the end was $31 more than the amount of money he gave to Kenneth. Find the amount of money Hugo gave to Calvin.

So, here's the first step: Let x = the amount of money Hugo starts with (in dollars).

Now start writing an expression for the amount Hugo has after each step. I'd keep track of how much of the money each person has at each step.

I have to add that this is a rather difficult problem of its type, so if you have been assigned it, you have surely seen a lot of algebra, and your claim is nonsense. What you really mean is, you don't see a quick way to an answer. Well, there isn't one. You have to be willing to just do whatever you can do, not expecting it to be easy. And the need to plod through hard problems is part of the reason we insist that you do the work yourself, because that's something you only learn by experience: that patient work will be rewarded with success ... eventually.

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So Hugo gave Calvin (1/4)H+ 1.Hugo gave 1/4 of his money and an additional $1 to Calvin.

Now Hugo has H- (1/4)H- 1= (3/4)H- 1 and Calvin has C+ (1/4)H+ 1.

Hugo's "remaining money" is (3/4)H- 1 and 1/5 of that is (3/20)H- 1/5. Hugo gave Kenneth (3/20)H- 1/5+ 4= (3/20)H+ 19/5. The Hugo had (3/5)H- 1- (3/20)H- 19/5= (9/20)H- 24/5 and Kenneth had K+ (3/20)H+ 19/5.He gave 1/5 of the remaining money and an additional $4 to Kenneth.

The amount of money Hugo had left in the end is (9/20)H- 24/5 and the amount he gave to Kenneth was (3/20)H+ 19/5 so (9/20)H- 24/5= (3/20)H+ 19/5+ 31. Solve that equation for H. The amount Hugo gave Calvin was, as above, (1/4)H+ 1.The amount of money Hugo had left in the end was $31 more than the amount of money he gave to Kenneth. Find the amount of money Hugo gave to Calvin.

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Set up the equations and solve.So is the answer 21

If you are stuck - show us your work/thoughts!!

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I have no idea what this means.Your die time

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So is the answer 21

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That's not what I get. Show how you got 21.

He or she is in a snit because we expect work.I have no idea what this means.