Question 374494
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+P=360}}}



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Step 4)


{{{J+P=360}}} Start with the second equation.



{{{2P+P=360}}} Plug in {{{J=2P}}}



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



{{{P=(360)/(3)}}} 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(120)}}} 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 <u>real</u> Numbers.