Question

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In the 2006 Winter Olympics in Torino, Italy, Russia won 7 fewer medals than Germany. The two countries won a total of 51 medals. How many medals did each country win?

Answer 1

Answer:

Russia won 22 medals. Germany won 29 medals.

Step-by-step explanation:

Let's let R denote the amount of medals Russia won and G denote the amount of medals Germany won.

We know that Russia won 7 fewer medals than Germany. In other words, however many medals Germany won, we subtract 7 to get the amount Russia won. In an equation, this is:

$R=G-7$

We also know that the two countries won a total of 51 medals. So:

$R+G=51$

This is a system of equations. We can solve by substitution.

Let's substitute our first equation into the second. This yields:

$(G-7)+G=51$

Combine like terms:

$2G-7=51$

Let's add 7 to both sides. The left side cancels:

$2G=58$

Divide both sides by 2:

$G=29$

So, Germany won 29 medals.

Since Russia won 7 fewer medals, Russia won 29 - 7 or 22 medals.

And we're done!

Answer 2

The 2006 Winter Olympics, officially known as the XX Olympic Winter Games, was a winter multi-sport event held in Turin, Italy, from February 10 to February 26, 2006. A total of 2,508 athletes representing 80 National Olympic Committees (NOCs) (+3 from 2002 Olympics) participated in 84 events (+6 from 2002) from 15 different sports and disciplines (unchanged from 2002


Athletes from 26 NOCs won at least one medal, and athletes from 18 of these NOCs secured at least one gold.[1] Germany won the highest number of gold medals (11) and led in overall medals (29) for the third consecutive Games. Latvia and Slovakia won the first medals in their Winter Olympic history.[2]

Speed skater Cindy Klassen of Canada won five medals (one gold, two silver and two bronze) and was the most medalled athlete at the Games. Biathlete Michael Greis of Germany and short track speed skaters Ahn Hyun Soo and Jin Sun-Yu, both of South Korea, tied for the most gold medals, with three each.[3]

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