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
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