In a recent international sport​ competition, the top three countries—Country ​A, Country​ B, and Country C—won a total of 124 medals. Country B won 13 more medals than Country C. Country A won 34 more medals than the total amount won by the other two. How many medals did each of the top three countries​ win?

Country A won 79 medals, country B won 29 medals and country C won 16 medals.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

Country A won x medals.

Country B won y medals.

Country C won z medals.

Total of 124 medals:

This means that .

Country B won 13 more medals than Country C.

This means that

Country A won 34 more medals than the total amount won by the other two.

This means that:

From the first equation, we have that:

So

Finding z:

Since

Finding y:

Country A won 79 medals, country B won 29 medals and country C won 16 medals.

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

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step-by-step explanation: