SOLUTION: http://oi53.tinypic.com/a5bzpc.jpg <-- This is the 5step guide http://oi51.tinypic.com/30jtohz.jpg <-- this is the question. I need to see how to solve it Plus answer. Good so

Algebra ->  Equations -> SOLUTION: http://oi53.tinypic.com/a5bzpc.jpg <-- This is the 5step guide http://oi51.tinypic.com/30jtohz.jpg <-- this is the question. I need to see how to solve it Plus answer. Good so      Log On


   



Question 374494: http://oi53.tinypic.com/a5bzpc.jpg <-- This is the 5step guide
http://oi51.tinypic.com/30jtohz.jpg <-- this is the question.
I need to see how to solve it Plus answer.
Good solution for how I got the answer.
Also I have another problem that is..
The positive numbers, the negative numbers, and zero make up the ________ Numbers.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1)

We know that together they have $360 and that John has twice as much as Peter. We want to find the individual amounts of money.


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Step 2)

Let J = amount of money that John has and P = amount of money Peter has


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Step 3)

Since "John has twice as much money as Peter", we know that John's dollar amount is equal to 2 times Peter's dollar amount. So the first equation is J=2P.

Also, since we know that "together they have $360", this means that the sum of their money is 360. So the second equation is J%2BP=360


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Step 4)

J%2BP=360 Start with the second equation.


2P%2BP=360 Plug in J=2P


3P=360 Combine like terms on the left side.


P=%28360%29%2F%283%29 Divide both sides by 3 to isolate P.


P=120 Reduce.


So Peter has $120


J=2P Go back to the first equation


J=2%28120%29 Plug in P=120


J=240 Multiply


So John has $240


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Step 5)

Check:

Notice how John's dollar amount is twice that of Peter's.

Also, notice how the sum of their money is: 240+120 = 360, so this verifies the second condition.


So this verifies the answer.


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The positive numbers, the negative numbers, and zero make up the real Numbers.