Answer: Russia earned 13 gold medals, 11 silver medals and 9 bronze medals.
Step-by-step explanation:
Let x represent the number of gold medals that Russia earned.
Let y represent the number of silver medals that Russia earned.
Let z represent the number of bronze medals that Russia earned.
Russia earned a total of 33 medals. This means that
x + y + z = 33 - - - - - - - - - - - 1!
In the 2014 winter olympics in sochi russia earned 4 more gold medals than bronze. This means that
x = z + 4
The number of silver medals earned was 7 less than twice the number of bronze. This means that
y = 2z - 7
Substituting x = z + 4 and y = 2z - 7 into equation 1, it becomes
z + 4 + 2z - 7 + z = 33
4z - 3 = 33
4z = 33 + 3 = 36
z = 36/4 = 9
x = z + 4 = 9 + 4
x = 13
y = 2z - 7 = 2 × 9 - 7
y = 11
