Question

I don’t know which one to pick

Answer 1

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

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• w = 7a + 4b

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

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• Correct option = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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W = 7a + 4b

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• Using equations formulae

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$\sf \implies W - 4b = 7a$

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$\sf \implies \dfrac{W - 4b}{7} = a$

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• checking correct option

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Option 1 :

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$\sf \bigg( a = \dfrac{W - 4b}{7} \bigg) \neq \bigg( a = \dfrac{W - 7b}{4}\bigg)$

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This option is not correct

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Option 2 :

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$\sf \bigg( a = \dfrac{W - 4b}{7} \bigg) \neq \bigg( a = \dfrac{W}{7} - 4b \bigg)$

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This option is not correct

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Option 3 :

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$\sf \bigg( a = \dfrac{W - 4b}{7} \bigg) = \bigg( a = \dfrac{W - 4b}{7}\bigg)$

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This option is correct

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Option 4 :

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$\sf \bigg( a = \dfrac{W - 4b}{7} \bigg) \neq \bigg( W = \dfrac{W}{7} - 28b \bigg)$

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This option is not correct

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

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• Correct answer = option C