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bixtya [17]
3 years ago
14

In the 2006 Winter Olympics, Sweden won 3 medals more than China. Germany

Mathematics
1 answer:
muminat3 years ago
7 0

Germany secured 29 medals

Step-by-step explanation:

In the 2006 Winter Olympics

  • Sweden won 3 medals more than China
  • Germany  secured one more than twice the number of medals bagged by Sweden
  • 54  medals were won in all

We need to find how many medals did Germany secure

Assume that x represents the number of medals that Sweden won

∵ Sweden won x medals

∵ Sweden won 3 medals more than China

- That means chine won 3 medals less than x

∴ China won = x - 3 medals

∵ Germany  secured one more than twice the number of

   medals bagged by Sweden

- That means multiply x by 2 and add 1

∴ Germany secured = 2x + 1 medals

∵ 54  medals were won in all

- That means add the number of medals of the 3 countries

  and equate the sum by 54

∵ x + (x - 3) + (2x + 1) = 54

- Add like terms in the left hand side

∴ (x + x + 2x) + (-3 + 1) = 54

∴ 4x - 2 = 54

- Add 2 to both sides

∴ 4x = 56

- Divide both sides by 4

∴ x = 14

∵ Germany secured 2x + 1

- Substitute the value of x by 14

∴ Germany secured ⇒ 2(14) + 1 = 28 + 1 = 29

Germany secured 29 medals

Learn more:

You can learn ore about the word problems in brainly.com/question/10557938

#LearnwithBrainly

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