Country A, Country B, and Country C won a total of 130 medals. Country B won 10 more medals than Country C. Country A won 38 more medals than the total amount won by the other two. How many medals did each of the top three countries win?

Country A = 84

Country B = 28

Country C = 18

Step-by-step explanation:

Country A, Country B, and Country C won a total of 130 medals;

A + B + C = 130 ... 1

Country B won 10 more medals than Country C;

B = C + 10 ... 2

Country A won 38 more medals than the total amount won by the other two;

A = B + C + 38 ... 3

Substituting equation 3 to 1;

(B+C+38) + B+C = 130

2B + 2C + 38 = 130 ... 4

Substituting equation 2 into 4;

2 (C+10) + 2C + 38 = 130

4C + 58 = 130

4C = 130-58 = 72

C = 72/4 = 18

B = C + 10 = 18 + 10 = 28

A = B + C + 38 = 18 + 28 + 38 = 84

Country A = 84

Country B = 28

Country C = 18