SOLUTION: In the 2016 Summer Olympics, China, the United States, and Great Britain won a combined total of 258 medals. China won 51 fewer medals than the United States, Great Britain won

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Question 1192040: In the 2016 Summer Olympics, China, the United States, and Great Britain won a combined total of 258 medals.
China won 51 fewer medals than the United States, Great Britain won 54 fewer medals than the United States.
How many medals did each country win?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


From the problem statement, we can write:

C + G + U = 258    (C,G,U) = (China, Great Britain, United States)

C = U - 51 

G = U - 54





Substitute for C and G:

(U-51) + (U-54) + U = 258



Combine like terms:

3U - 105 = 258



3U = 363



U = 363/3 = 121  --> C = 70  and  G = 67



Check:  121 + 70 + 67 = 258