Question

In the 2004 Olympic games Russia, China and the United States won a total of 96 gold medallions if the United States won 4 more medals than China and the medals achieved by the United States and Russia are twice those obtained by China determine the number of gold medals won by Russia

Answer 1

28

Explanation:

x = medals won by Russia

y = medals won by China

z = medals won by United States

Write a system of equations:

x + y + z = 96

z = y + 4

x + z = 2y

Substitute the second equation into the first and third:

x + y + y + 4 = 96

x + y + 4 = 2y

Simplify:

x + 2y = 92

x + 4 = y

Substitute for y:

x + 2(x + 4) = 92

x + 2x + 8 = 92

3x = 84

x = 28

Russia won 28 medals.

Which means China won 32 medals and the US won 36 medals.