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Mathematics

If the total weight of 11 identical articles is 77kg, how many articles of the same type would weigh 224 kg?

Direct & Inverse Variations

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Answer

Let x articles weigh 224 kg.

ArticlesWeight
1177
x224

Since it is a case of direct variation,

∴1177=x224⇒x=11×22477⇒x=2,46477⇒x=32\therefore \dfrac{11}{77} = \dfrac{x}{224}\\[1em] \Rightarrow x = \dfrac{11 \times 224}{77}\\[1em] \Rightarrow x = \dfrac{2,464}{77}\\[1em] \Rightarrow x = 32

Hence, 32 articles would weigh 224 kg.

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