Math Is Fun Forum

Mathisfun2002

Guest

Math counts AMC

I really need help. I wrote out an equation but couldn't solve correctly.

Bob has x dollars now. If Pat gives Bob a dollar, Bob will have twice as many dollars as Pat. If Bob gave Pat a dollar instead, they both will have the same number of dollars. What is the value of x?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Math counts AMC

Hi;

Let p be the number of dollars Pat has and x = the number of dollars Bob has:

x + 1 = 2 p

p + 1 = x

solving we get p = 2 and x = 3.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Olinguito

Member

Registered: 2014-08-12

Posts: 649

Re: Math counts AMC

If Bob has x dollars and Pat has p dollars then

Last edited by Olinguito (2014-08-14 05:52:43)

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Bassaricyon neblina

ElainaVW

Member

Registered: 2013-04-29

Posts: 580

Re: Math counts AMC

If Pat gives Bob a dollar, Bob will have twice as many dollars as Pat.

7 + 1 ≠ 2 * 5

Olinguito

Member

Registered: 2014-08-12

Posts: 649

Re: Math counts AMC

If Pat gives Bob a dollar, Bob will have twice as many dollars as Pat.

7 + 1 ≠ 2 * 5

Why? If Pat gives Bob a dollar, Pat will have 4 dollars left, not 5.

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Bassaricyon neblina

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Math counts AMC

Sorry, my fault. I caused the confusion. I guess in my world giving a dollar does not decrease your totals. No wonder my checkbook never balances.

Elaina, I am sorry. I wrote the problem down from memory instead of copying it and left out some important parts. Then I gave it to you causing you to get the same wrong answer I did.  I do apologize.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.