SOLUTION: The Olympics have been held a total of 21 times in North America, Europe and Asia. The number of North American sites is 5 more than the total number of sites in Europe and Asia.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The Olympics have been held a total of 21 times in North America, Europe and Asia. The number of North American sites is 5 more than the total number of sites in Europe and Asia.       Log On


   

Question 1102545: The Olympics have been held a total of 21 times in North America, Europe and Asia. The number
of North American sites is 5 more than the total number of sites in Europe and Asia. There are
four more sites in Europe than in Asia. Find the number of Olympics sites each continent has
held.
Answer by ikleyn(52786) About Me  (Show Source):
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The condition says


    NorthAmerica + Europe + Asia  = 21,

    NorthAmerica - (Europe + Asia) = 5.


Add the two equations. You will get

2*NorthAmerica = 21+5 = 26  ====>  NorthAmerica= 26%2F2 = 13.


Then (Europe + Asia) = 21 - 13 = 8.



Next, you have these two equations

    Europe + Asia = 8,

    Europe - Asia = 4.


Add the two equations. You will get


2*Europe = 8+4 = 12  ===>  Europe = 12%2F2 = 6.


Then Asia = 8-6 = 2.


Answer.  NorthAmerica = 13, Europe = 6  and  Asia = 2.

Solved.