Ask Question
22 October, 08:09

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?

+5
Answers (1)
  1. 22 October, 08:27
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers