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2 years ago

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

Mathematics

1 answer:

muminat2 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

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